102792904704 has 360 divisors, whose sum is σ = 345956607360. Its totient is φ = 28799926272.

The previous prime is 102792904703. The next prime is 102792904727. The reversal of 102792904704 is 407409297201.

It is a happy number.

102792904704 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 92 + 90 + 470 + 4 = 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 a self number, because there is not a number n which added to its sum of digits gives 102792904704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102792904703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54705237 + ... + 54707115.

It is an arithmetic number, because the mean of its divisors is an integer number (960990576).

Almost surely, 2^102792904704 is an apocalyptic number.

102792904704 is a gapful number since it is divisible by the number (14) 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 102792904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172978303680).

102792904704 is an abundant number, since it is smaller than the sum of its proper divisors (243163702656).

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

102792904704 is an equidigital number, since it uses as much as digits as its factorization.

102792904704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 102792904704 in words is "one hundred two billion, seven hundred ninety-two million, nine hundred four thousand, seven hundred four".