102156516 has 144 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 26242560.

The previous prime is 102156511. The next prime is 102156539. The reversal of 102156516 is 615651201.

It is a happy number.

102156516 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 5 + 651 + 6 = 666.

It is a super-2 number, since 2×102156516² = 20871907522516512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102156516.

It is not an unprimeable number, because it can be changed into a prime (102156511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379630 + ... + 379898.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 2^102156516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102156516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

102156516 is an abundant number, since it is smaller than the sum of its proper divisors (223346844).

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

102156516 is a wasteful number, since it uses less digits than its factorization.

102156516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

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

The square root of 102156516 is about 10107.2506647456. The cubic root of 102156516 is about 467.4717357349.

The spelling of 102156516 in words is "one hundred two million, one hundred fifty-six thousand, five hundred sixteen".