102928896 has 120 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 29399040.

The previous prime is 102928883. The next prime is 102928921. The reversal of 102928896 is 698829201.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30661 + ... + 33851.

Almost surely, 2^102928896 is an apocalyptic number.

102928896 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 102928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

102928896 is an abundant number, since it is smaller than the sum of its proper divisors (236674368).

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

102928896 is an equidigital number, since it uses as much as digits as its factorization.

102928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 102928896 is about 10145.3879176698. The cubic root of 102928896 is about 468.6469247494.

The spelling of 102928896 in words is "one hundred two million, nine hundred twenty-eight thousand, eight hundred ninety-six".