102156768 has 288 divisors, whose sum is σ = 367718400. Its totient is φ = 27433728.

The previous prime is 102156751. The next prime is 102156773. The reversal of 102156768 is 867651201.

102156768 is a `hidden beast` number, since 10 + 21 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804321 + ... + 804447.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^102156768 is an apocalyptic number.

102156768 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 102156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

102156768 is an abundant number, since it is smaller than the sum of its proper divisors (265561632).

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

102156768 is a wasteful number, since it uses less digits than its factorization.

102156768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

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

The square root of 102156768 is about 10107.2631310360. The cubic root of 102156768 is about 467.4721201214.

The spelling of 102156768 in words is "one hundred two million, one hundred fifty-six thousand, seven hundred sixty-eight".