102800656 has 80 divisors (see below), whose sum is σ = 237127680. Its totient is φ = 42261120.

The previous prime is 102800623. The next prime is 102800657. The reversal of 102800656 is 656008201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102800657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310411 + ... + 310741.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 2^102800656 is an apocalyptic number.

102800656 is a gapful number since it is divisible by the number (16) 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 102800656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563840).

102800656 is an abundant number, since it is smaller than the sum of its proper divisors (134327024).

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

102800656 is a wasteful number, since it uses less digits than its factorization.

102800656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 102800656 is about 10139.0658346812. The cubic root of 102800656 is about 468.4522134465.

Adding to 102800656 its reverse (656008201), we get a palindrome (758808857).

The spelling of 102800656 in words is "one hundred two million, eight hundred thousand, six hundred fifty-six".