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106214402536 = 23113764150891
BaseRepresentation
bin110001011101011011…
…1110010100111101000
3101011011021010200220121
41202322313302213220
53220011341340121
6120443315133024
710450043345104
oct1427267624750
9334137120817
10106214402536
1141055296770
1218702ba4174
13a0291361c8
1451d8520904
152b69ac4141
hex18badf29e8

106214402536 has 64 divisors (see below), whose sum is σ = 223481021760. Its totient is φ = 46900224000.

The previous prime is 106214402521. The next prime is 106214402537. The reversal of 106214402536 is 635204412601.

It is a super-2 number, since 2×1062144025362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106214402537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061651 + ... + 2112541.

It is an arithmetic number, because the mean of its divisors is an integer number (3491890965).

Almost surely, 2106214402536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106214402536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111740510880).

106214402536 is an abundant number, since it is smaller than the sum of its proper divisors (117266619224).

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

106214402536 is a wasteful number, since it uses less digits than its factorization.

106214402536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51586 (or 51582 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 106214402536 in words is "one hundred six billion, two hundred fourteen million, four hundred two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 641 814 1282 1628 2564 3256 5128 7051 14102 23717 28204 47434 50891 56408 94868 101782 189736 203564 260887 407128 521774 559801 1043548 1119602 1882967 2087096 2239204 3765934 4478408 7531868 15063736 20712637 32621131 41425274 65242262 82850548 130484524 165701096 260969048 358832441 717664882 1206981847 1435329764 2413963694 2870659528 4827927388 9655854776 13276800317 26553600634 53107201268 106214402536