102812816 has 20 divisors (see below), whose sum is σ = 202467324. Its totient is φ = 50563200.

The previous prime is 102812813. The next prime is 102812867. The reversal of 102812816 is 618218201.

It can be written as a sum of positive squares in 2 ways, for example, as 883600 + 101929216 = 940^2 + 10096^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102812813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51695 + ... + 53646.

Almost surely, 2^102812816 is an apocalyptic number.

102812816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102812816 is a deficient number, since it is larger than the sum of its proper divisors (99654508).

102812816 is a wasteful number, since it uses less digits than its factorization.

102812816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105410 (or 105404 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 102812816 is about 10139.6654777167. The cubic root of 102812816 is about 468.4706833492.

The spelling of 102812816 in words is "one hundred two million, eight hundred twelve thousand, eight hundred sixteen".