102144635532 has 72 divisors (see below), whose sum is σ = 261008748000. Its totient is φ = 33678747648.

The previous prime is 102144635513. The next prime is 102144635639. The reversal of 102144635532 is 235536441201.

102144635532 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 44 + 63 + 553 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2328748 + ... + 2372204.

It is an arithmetic number, because the mean of its divisors is an integer number (3625121500).

Almost surely, 2^102144635532 is an apocalyptic number.

102144635532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102144635532 is an abundant number, since it is smaller than the sum of its proper divisors (158864112468).

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

102144635532 is a wasteful number, since it uses less digits than its factorization.

102144635532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44175 (or 44170 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 102144635532 in words is "one hundred two billion, one hundred forty-four million, six hundred thirty-five thousand, five hundred thirty-two".