102627168 has 72 divisors (see below), whose sum is σ = 313393752. Its totient is φ = 29320704.

The previous prime is 102627167. The next prime is 102627209. The reversal of 102627168 is 861726201.

It is a super-2 number, since 2×102627168² = 21064671223400448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102627167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6205 + ... + 15612.

It is an arithmetic number, because the mean of its divisors is an integer number (4352691).

Almost surely, 2^102627168 is an apocalyptic number.

It is an amenable number.

102627168 is an abundant number, since it is smaller than the sum of its proper divisors (210766584).

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

102627168 is a wasteful number, since it uses less digits than its factorization.

102627168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21844 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 102627168 is about 10130.5067987737. The cubic root of 102627168 is about 468.1885426307.

The spelling of 102627168 in words is "one hundred two million, six hundred twenty-seven thousand, one hundred sixty-eight".