102288870874080 has 384 divisors, whose sum is σ = 399640247677440. Its totient is φ = 24220620103680.

The previous prime is 102288870874079. The next prime is 102288870874159. The reversal of 102288870874080 is 80478078882201.

102288870874080 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 8 + 88 + 70 + 87 + 408 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102288870873999 and 102288870874017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22986217 + ... + 27072936.

It is an arithmetic number, because the mean of its divisors is an integer number (1040729811660).

Almost surely, 2^{102288870874080} is an apocalyptic number.

102288870874080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102288870874080 is an abundant number, since it is smaller than the sum of its proper divisors (297351376803360).

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

102288870874080 is a wasteful number, since it uses less digits than its factorization.

102288870874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50059231 (or 50059217 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 102288870874080 in words is "one hundred two trillion, two hundred eighty-eight billion, eight hundred seventy million, eight hundred seventy-four thousand, eighty".