102792480 has 96 divisors (see below), whose sum is σ = 370065024. Its totient is φ = 23494656.

The previous prime is 102792467. The next prime is 102792491. The reversal of 102792480 is 84297201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11937 + ... + 18656.

It is an arithmetic number, because the mean of its divisors is an integer number (3854844).

Almost surely, 2^102792480 is an apocalyptic number.

102792480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102792480 is an abundant number, since it is smaller than the sum of its proper divisors (267272544).

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

102792480 is a wasteful number, since it uses less digits than its factorization.

102792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30618 (or 30610 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102792480 is about 10138.6626337008. The cubic root of 102792480 is about 468.4397940483.

The spelling of 102792480 in words is "one hundred two million, seven hundred ninety-two thousand, four hundred eighty".