102556608 has 168 divisors, whose sum is σ = 344692224. Its totient is φ = 26611200.

The previous prime is 102556603. The next prime is 102556651. The reversal of 102556608 is 806655201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102556603) 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, 102993 + ... + 103983.

Almost surely, 2^102556608 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 102556608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

102556608 is an abundant number, since it is smaller than the sum of its proper divisors (242135616).

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

102556608 is a wasteful number, since it uses less digits than its factorization.

102556608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 102556608 is about 10127.0236496218. The cubic root of 102556608 is about 468.0812190109.

The spelling of 102556608 in words is "one hundred two million, five hundred fifty-six thousand, six hundred eight".