102516012 has 36 divisors (see below), whose sum is σ = 260048880. Its totient is φ = 34051872.

The previous prime is 102515989. The next prime is 102516013. The reversal of 102516012 is 210615201.

102516012 is a `hidden beast` number, since 10 + 2 + 51 + 601 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (102516013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5689 + ... + 15407.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^102516012 is an apocalyptic number.

102516012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102516012 is an abundant number, since it is smaller than the sum of its proper divisors (157532868).

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

102516012 is a wasteful number, since it uses less digits than its factorization.

102516012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102516012 is about 10125.0191110931. The cubic root of 102516012 is about 468.0194491150.

The spelling of 102516012 in words is "one hundred two million, five hundred sixteen thousand, twelve".