102513200 has 60 divisors (see below), whose sum is σ = 247592040. Its totient is φ = 40788480.

The previous prime is 102513197. The next prime is 102513211. The reversal of 102513200 is 2315201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90236 + ... + 91364.

It is an arithmetic number, because the mean of its divisors is an integer number (4126534).

Almost surely, 2^102513200 is an apocalyptic number.

102513200 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 102513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123796020).

102513200 is an abundant number, since it is smaller than the sum of its proper divisors (145078840).

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

102513200 is a wasteful number, since it uses less digits than its factorization.

102513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102513200 is about 10124.8802462054. The cubic root of 102513200 is about 468.0151698397.

Adding to 102513200 its reverse (2315201), we get a palindrome (104828401).

The spelling of 102513200 in words is "one hundred two million, five hundred thirteen thousand, two hundred".