102972294360 has 1024 divisors, whose sum is σ = 408748032000. Its totient is φ = 22835312640.

The previous prime is 102972294329. The next prime is 102972294389. The reversal of 102972294360 is 63492279201.

102972294360 is a `hidden beast` number, since 10 + 297 + 2 + 294 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 539121865 + ... + 539122055.

It is an arithmetic number, because the mean of its divisors is an integer number (399168000).

Almost surely, 2^102972294360 is an apocalyptic number.

102972294360 is a gapful number since it is divisible by the number (10) 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 102972294360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204374016000).

102972294360 is an abundant number, since it is smaller than the sum of its proper divisors (305775737640).

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

102972294360 is a wasteful number, since it uses less digits than its factorization.

102972294360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 102972294360 in words is "one hundred two billion, nine hundred seventy-two million, two hundred ninety-four thousand, three hundred sixty".