102991168 has 56 divisors (see below), whose sum is σ = 247326912. Its totient is φ = 41539584.

The previous prime is 102991121. The next prime is 102991177. The reversal of 102991168 is 861199201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855 + ... + 14377.

It is an arithmetic number, because the mean of its divisors is an integer number (4416552).

Almost surely, 2^102991168 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 102991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123663456).

102991168 is an abundant number, since it is smaller than the sum of its proper divisors (144335744).

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

102991168 is a wasteful number, since it uses less digits than its factorization.

102991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 102991168 is about 10148.4564343549. The cubic root of 102991168 is about 468.7414161865.

The spelling of 102991168 in words is "one hundred two million, nine hundred ninety-one thousand, one hundred sixty-eight".