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106425310632 = 23343179576119
BaseRepresentation
bin110001100011101110…
…0010101110110101000
3101011200221222221102120
41203013130111312220
53220424334420012
6120520251431240
710455214133364
oct1430734256650
9334627887376
10106425310632
114115334a083
1218761755520
13a060a3c4b4
1452185422a4
152b7d38558c
hex18c7715da8

106425310632 has 64 divisors (see below), whose sum is σ = 273772224000. Its totient is φ = 34456465344.

The previous prime is 106425310571. The next prime is 106425310643. The reversal of 106425310632 is 236013524601.

It is a super-2 number, since 2×1064253106322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106425310593 and 106425310602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103332 + ... + 472787.

It is an arithmetic number, because the mean of its divisors is an integer number (4277691000).

Almost surely, 2106425310632 is an apocalyptic number.

106425310632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106425310632 is an abundant number, since it is smaller than the sum of its proper divisors (167346913368).

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

106425310632 is a wasteful number, since it uses less digits than its factorization.

106425310632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576350 (or 576346 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 106425310632 in words is "one hundred six billion, four hundred twenty-five million, three hundred ten thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 179 258 344 358 516 537 716 1032 1074 1432 2148 4296 7697 15394 23091 30788 46182 61576 92364 184728 576119 1152238 1728357 2304476 3456714 4608952 6913428 13826856 24773117 49546234 74319351 99092468 103125301 148638702 198184936 206250602 297277404 309375903 412501204 594554808 618751806 825002408 1237503612 2475007224 4434387943 8868775886 13303163829 17737551772 26606327658 35475103544 53212655316 106425310632