102339200 has 48 divisors (see below), whose sum is σ = 252817710. Its totient is φ = 40934400.

The previous prime is 102339197. The next prime is 102339233. The reversal of 102339200 is 2933201.

It can be written as a sum of positive squares in 3 ways, for example, as 49224256 + 53114944 = 7016^2 + 7288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12791 + ... + 19190.

Almost surely, 2^102339200 is an apocalyptic number.

102339200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102339200 is an abundant number, since it is smaller than the sum of its proper divisors (150478510).

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

102339200 is an equidigital number, since it uses as much as digits as its factorization.

102339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32005 (or 31988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 102339200 is about 10116.2839026987. The cubic root of 102339200 is about 467.7502258871.

The spelling of 102339200 in words is "one hundred two million, three hundred thirty-nine thousand, two hundred".