102617138 has 54 divisors (see below), whose sum is σ = 182186199. Its totient is φ = 43321824.

The previous prime is 102617113. The next prime is 102617153. The reversal of 102617138 is 831716201.

It can be written as a sum of positive squares in 5 ways, for example, as 16999129 + 85618009 = 4123^2 + 9253^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7163.

It is a super-2 number, since 2×102617138² = 21060554022622088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 102617138.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3538508 + ... + 3538536.

Almost surely, 2^102617138 is an apocalyptic number.

102617138 is a deficient number, since it is larger than the sum of its proper divisors (79569061).

102617138 is a wasteful number, since it uses less digits than its factorization.

102617138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 102617138 is about 10130.0117472785. The cubic root of 102617138 is about 468.1732897363.

The spelling of 102617138 in words is "one hundred two million, six hundred seventeen thousand, one hundred thirty-eight".