102516921 has 30 divisors (see below), whose sum is σ = 165851070. Its totient is φ = 63078912.

The previous prime is 102516889. The next prime is 102516937. The reversal of 102516921 is 129615201.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 102515625 = 36^2 + 10125^2 .

It is not a de Polignac number, because 102516921 - 2⁵ = 102516889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102516941) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9945 + ... + 17433.

It is an arithmetic number, because the mean of its divisors is an integer number (5528369).

Almost surely, 2^102516921 is an apocalyptic number.

It is an amenable number.

102516921 is a deficient number, since it is larger than the sum of its proper divisors (63334149).

102516921 is an equidigital number, since it uses as much as digits as its factorization.

102516921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 102516921 is about 10125.0639997977. The cubic root of 102516921 is about 468.0208324060.

The spelling of 102516921 in words is "one hundred two million, five hundred sixteen thousand, nine hundred twenty-one".