102516561 has 12 divisors (see below), whose sum is σ = 169233792. Its totient is φ = 58580856.

The previous prime is 102516553. The next prime is 102516563. The reversal of 102516561 is 165615201.

It is a happy number.

102516561 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 656 + 1 = 666.

It is not a de Polignac number, because 102516561 - 2³ = 102516553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102516563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813561 + ... + 813686.

It is an arithmetic number, because the mean of its divisors is an integer number (14102816).

Almost surely, 2^102516561 is an apocalyptic number.

It is an amenable number.

102516561 is a deficient number, since it is larger than the sum of its proper divisors (66717231).

102516561 is a wasteful number, since it uses less digits than its factorization.

102516561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627260 (or 1627257 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 102516561 is about 10125.0462221167. The cubic root of 102516561 is about 468.0202845690.

The spelling of 102516561 in words is "one hundred two million, five hundred sixteen thousand, five hundred sixty-one".