102118794372 has 432 divisors, whose sum is σ = 323539332480. Its totient is φ = 26998272000.

The previous prime is 102118794347. The next prime is 102118794433. The reversal of 102118794372 is 273497811201.

102118794372 is a `hidden beast` number, since 10 + 2 + 1 + 187 + 94 + 372 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 328356097 + ... + 328356407.

It is an arithmetic number, because the mean of its divisors is an integer number (748933640).

Almost surely, 2^102118794372 is an apocalyptic number.

102118794372 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 102118794372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161769666240).

102118794372 is an abundant number, since it is smaller than the sum of its proper divisors (221420538108).

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

102118794372 is a wasteful number, since it uses less digits than its factorization.

102118794372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 102118794372 in words is "one hundred two billion, one hundred eighteen million, seven hundred ninety-four thousand, three hundred seventy-two".