102674772432 has 60 divisors (see below), whose sum is σ = 304249516740. Its totient is φ = 32211692544.

The previous prime is 102674772379. The next prime is 102674772439. The reversal of 102674772432 is 234277476201.

102674772432 is a `hidden beast` number, since 102 + 6 + 7 + 47 + 72 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78196292496 + 24478479936 = 279636^2 + 156456^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102674772439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20968707 + ... + 20973602.

It is an arithmetic number, because the mean of its divisors is an integer number (5070825279).

Almost surely, 2^102674772432 is an apocalyptic number.

102674772432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102674772432 is an abundant number, since it is smaller than the sum of its proper divisors (201574744308).

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

102674772432 is a wasteful number, since it uses less digits than its factorization.

102674772432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41942340 (or 41942331 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 102674772432 in words is "one hundred two billion, six hundred seventy-four million, seven hundred seventy-two thousand, four hundred thirty-two".