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106356034272760 = 2355217737878389
BaseRepresentation
bin11000001011101011110001…
…101001000111110111111000
3111221120112111220011002121121
4120023223301221013313320
5102420014124233212020
61014111142043515024
731254653451062566
oct3013536151076770
9457515456132547
10106356034272760
1130985382718358
12bb18618828a74
13474643c27cb4c
141c39933a44a36
15c46870413baa
hex60baf1a47df8

106356034272760 has 128 divisors (see below), whose sum is σ = 240404255726400. Its totient is φ = 42346897182720.

The previous prime is 106356034272661. The next prime is 106356034272779. The reversal of 106356034272760 is 67272430653601.

It is a super-2 number, since 2×1063560342727602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106356034272698 and 106356034272707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12678030646 + ... + 12678039034.

Almost surely, 2106356034272760 is an apocalyptic number.

106356034272760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106356034272760 is an abundant number, since it is smaller than the sum of its proper divisors (134048221453640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106356034272760 is a wasteful number, since it uses less digits than its factorization.

106356034272760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 52.

The spelling of 106356034272760 in words is "one hundred six trillion, three hundred fifty-six billion, thirty-four million, two hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 521 773 787 1042 1546 1574 2084 2605 3092 3148 3865 3935 4168 5210 6184 6296 7730 7870 8389 10420 15460 15740 16778 20840 30920 31480 33556 41945 67112 83890 167780 335560 402733 410027 608351 805466 820054 1216702 1610932 1640108 2013665 2050135 2433404 3041755 3221864 3280216 4027330 4100270 4370669 4866808 6083510 6484697 6602143 8054660 8200540 8741338 12167020 12969394 13204286 16109320 16401080 17482676 21853345 24334040 25938788 26408572 32423485 33010715 34965352 43706690 51877576 52817144 64846970 66021430 87413380 129693940 132042860 174826760 259387880 264085720 316950871 633901742 1267803484 1584754355 2535606968 3169508710 3378527137 3439716503 5103456539 6339017420 6757054274 6879433006 10206913078 12678034840 13514108548 13758866012 16892635685 17198582515 20413826156 25517282695 27028217096 27517732024 33785271370 34397165030 40827652312 51034565390 67570542740 68794330060 102069130780 135141085480 137588660120 204138261560 2658900856819 5317801713638 10635603427276 13294504284095 21271206854552 26589008568190 53178017136380 106356034272760