102657168 has 120 divisors (see below), whose sum is σ = 300025440. Its totient is φ = 32739840.

The previous prime is 102657167. The next prime is 102657173. The reversal of 102657168 is 861756201.

102657168 is a `hidden beast` number, since 1 + 0 + 26 + 571 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102657167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365188 + ... + 365468.

It is an arithmetic number, because the mean of its divisors is an integer number (2500212).

Almost surely, 2^102657168 is an apocalyptic number.

102657168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102657168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150012720).

102657168 is an abundant number, since it is smaller than the sum of its proper divisors (197368272).

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

102657168 is a wasteful number, since it uses less digits than its factorization.

102657168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102657168 is about 10131.9873667509. The cubic root of 102657168 is about 468.2341585177.

The spelling of 102657168 in words is "one hundred two million, six hundred fifty-seven thousand, one hundred sixty-eight".