102856116 has 96 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 29881600.

The previous prime is 102856111. The next prime is 102856123. The reversal of 102856116 is 611658201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102856111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365896 + ... + 366176.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^102856116 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 102856116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

102856116 is an abundant number, since it is smaller than the sum of its proper divisors (170029644).

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

102856116 is a wasteful number, since it uses less digits than its factorization.

102856116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 102856116 is about 10141.8004318760. The cubic root of 102856116 is about 468.5364401759.

The spelling of 102856116 in words is "one hundred two million, eight hundred fifty-six thousand, one hundred sixteen".