102296800 has 72 divisors (see below), whose sum is σ = 253390032. Its totient is φ = 40320000.

The previous prime is 102296771. The next prime is 102296813. The reversal of 102296800 is 8692201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55900 + ... + 57700.

It is an arithmetic number, because the mean of its divisors is an integer number (3519306).

Almost surely, 2^102296800 is an apocalyptic number.

102296800 is a gapful number since it is divisible by the number (10) 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 102296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126695016).

102296800 is an abundant number, since it is smaller than the sum of its proper divisors (151093232).

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

102296800 is a wasteful number, since it uses less digits than its factorization.

102296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102296800 is about 10114.1880544115. The cubic root of 102296800 is about 467.6856193331.

The spelling of 102296800 in words is "one hundred two million, two hundred ninety-six thousand, eight hundred".