102113200 has 60 divisors (see below), whose sum is σ = 280381360. Its totient is φ = 35009280.

The previous prime is 102113197. The next prime is 102113213. The reversal of 102113200 is 2311201.

It is a super-2 number, since 2×102113200² = 20854211228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 15435 + ... + 21034.

Almost surely, 2^102113200 is an apocalyptic number.

102113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113200 is an abundant number, since it is smaller than the sum of its proper divisors (178268160).

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

102113200 is a wasteful number, since it uses less digits than its factorization.

102113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36494 (or 36483 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102113200 is about 10105.1076194170. The cubic root of 102113200 is about 467.4056545582.

Adding to 102113200 its reverse (2311201), we get a palindrome (104424401).

The spelling of 102113200 in words is "one hundred two million, one hundred thirteen thousand, two hundred".