102716200 has 48 divisors (see below), whose sum is σ = 239521500. Its totient is φ = 40965120.

The previous prime is 102716191. The next prime is 102716213. The reversal of 102716200 is 2617201.

It can be written as a sum of positive squares in 6 ways, for example, as 44009956 + 58706244 = 6634^2 + 7662^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101296 + ... + 102304.

Almost surely, 2^102716200 is an apocalyptic number.

102716200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102716200 is an abundant number, since it is smaller than the sum of its proper divisors (136805300).

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

102716200 is a wasteful number, since it uses less digits than its factorization.

102716200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 102716200 is about 10134.9000981756. The cubic root of 102716200 is about 468.3238924768.

It can be divided in two parts, 10271 and 6200, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 102716200 in words is "one hundred two million, seven hundred sixteen thousand, two hundred".