102812112 has 80 divisors (see below), whose sum is σ = 317826880. Its totient is φ = 31632768.

The previous prime is 102812057. The next prime is 102812113. The reversal of 102812112 is 211218201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102812113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3538 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (3972836).

Almost surely, 2^102812112 is an apocalyptic number.

102812112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102812112 is an abundant number, since it is smaller than the sum of its proper divisors (215014768).

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

102812112 is a wasteful number, since it uses less digits than its factorization.

102812112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18337 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 102812112 is about 10139.6307625081. The cubic root of 102812112 is about 468.4696140787.

The spelling of 102812112 in words is "one hundred two million, eight hundred twelve thousand, one hundred twelve".