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105470561112 = 23376116376287
BaseRepresentation
bin110001000111010001…
…0010000101101011000
3101002020102110122022020
41202032202100231120
53212000430423422
6120241424054440
710422441656160
oct1421642205530
9332212418266
10105470561112
1140803422694
1218535a64420
139c3acb6957
1451678135a0
152b2464195c
hex188e890b58

105470561112 has 128 divisors (see below), whose sum is σ = 306520381440. Its totient is φ = 29617620480.

The previous prime is 105470561057. The next prime is 105470561113. The reversal of 105470561112 is 211165074501.

It is a super-2 number, since 2×1054705611122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105470561113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16772833 + ... + 16779119.

It is an arithmetic number, because the mean of its divisors is an integer number (2394690480).

Almost surely, 2105470561112 is an apocalyptic number.

105470561112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105470561112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153260190720).

105470561112 is an abundant number, since it is smaller than the sum of its proper divisors (201049820328).

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

105470561112 is a wasteful number, since it uses less digits than its factorization.

105470561112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 105470561112 in words is "one hundred five billion, four hundred seventy million, five hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1637 1708 2562 3274 3416 4911 5124 6287 6548 9822 10248 11459 12574 13096 18861 19644 22918 25148 34377 37722 39288 44009 45836 50296 68754 75444 88018 91672 99857 132027 137508 150888 176036 199714 264054 275016 299571 352072 383507 399428 528108 599142 698999 767014 798856 1056216 1150521 1198284 1397998 1534028 2096997 2301042 2396568 2684549 2795996 3068056 4193994 4602084 5369098 5591992 8053647 8387988 9204168 10291819 10738196 16107294 16775976 20583638 21476392 30875457 32214588 41167276 61750914 64429176 72042733 82334552 123501828 144085466 216128199 247003656 288170932 432256398 576341864 627800959 864512796 1255601918 1729025592 1883402877 2511203836 3766805754 4394606713 5022407672 7533611508 8789213426 13183820139 15067223016 17578426852 26367640278 35156853704 52735280556 105470561112