102812976 has 150 divisors (see below), whose sum is σ = 346367340. Its totient is φ = 29356992.

The previous prime is 102812947. The next prime is 102812989. The reversal of 102812976 is 679218201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102812976.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62695 + ... + 64313.

Almost surely, 2^102812976 is an apocalyptic number.

102812976 is a gapful number since it is divisible by the number (16) 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 102812976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173183670).

102812976 is an abundant number, since it is smaller than the sum of its proper divisors (243554364).

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

102812976 is a wasteful number, since it uses less digits than its factorization.

102812976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102812976 is about 10139.6733675203. The cubic root of 102812976 is about 468.4709263645.

The spelling of 102812976 in words is "one hundred two million, eight hundred twelve thousand, nine hundred seventy-six".