102616657 has 16 divisors (see below), whose sum is σ = 121306752. Its totient is φ = 85576320.

The previous prime is 102616609. The next prime is 102616669. The reversal of 102616657 is 756616201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102616657 - 2¹⁵ = 102583889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102616687) 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, 21733 + ... + 26029.

It is an arithmetic number, because the mean of its divisors is an integer number (7581672).

Almost surely, 2^102616657 is an apocalyptic number.

It is an amenable number.

102616657 is a deficient number, since it is larger than the sum of its proper divisors (18690095).

102616657 is a wasteful number, since it uses less digits than its factorization.

102616657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 102616657 is about 10129.9880059159. The cubic root of 102616657 is about 468.1725582415.

The spelling of 102616657 in words is "one hundred two million, six hundred sixteen thousand, six hundred fifty-seven".