102656628 has 36 divisors (see below), whose sum is σ = 263154528. Its totient is φ = 33736080.

The previous prime is 102656627. The next prime is 102656633. The reversal of 102656628 is 826656201.

102656628 is a `hidden beast` number, since 1 + 0 + 26 + 5 + 6 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 102656592 and 102656601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102656623) 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, 17526 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (7309848).

Almost surely, 2^102656628 is an apocalyptic number.

102656628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102656628 is an abundant number, since it is smaller than the sum of its proper divisors (160497900).

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

102656628 is a wasteful number, since it uses less digits than its factorization.

102656628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40244 (or 40239 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 102656628 is about 10131.9607184394. The cubic root of 102656628 is about 468.2333375103.

The spelling of 102656628 in words is "one hundred two million, six hundred fifty-six thousand, six hundred twenty-eight".