102796560 has 80 divisors (see below), whose sum is σ = 354084480. Its totient is φ = 27411840.

The previous prime is 102796543. The next prime is 102796607. The reversal of 102796560 is 65697201.

102796560 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 96 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21636 + ... + 25955.

It is an arithmetic number, because the mean of its divisors is an integer number (4426056).

Almost surely, 2^102796560 is an apocalyptic number.

102796560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102796560 is an abundant number, since it is smaller than the sum of its proper divisors (251287920).

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

102796560 is a wasteful number, since it uses less digits than its factorization.

102796560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47613 (or 47601 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 102796560 is about 10138.8638416738. The cubic root of 102796560 is about 468.4459916777.

The spelling of 102796560 in words is "one hundred two million, seven hundred ninety-six thousand, five hundred sixty".