102413200 has 30 divisors (see below), whose sum is σ = 246048674. Its totient is φ = 40965120.

The previous prime is 102413189. The next prime is 102413257. The reversal of 102413200 is 2314201.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 101364624 = 1024^2 + 10068^2 .

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, 127617 + ... + 128416.

Almost surely, 2^102413200 is an apocalyptic number.

102413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102413200 is an abundant number, since it is smaller than the sum of its proper divisors (143635474).

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

102413200 is a wasteful number, since it uses less digits than its factorization.

102413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256051 (or 256040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102413200 is about 10119.9407112888. The cubic root of 102413200 is about 467.8629398723.

Adding to 102413200 its reverse (2314201), we get a palindrome (104727401).

The spelling of 102413200 in words is "one hundred two million, four hundred thirteen thousand, two hundred".