102133320 has 64 divisors (see below), whose sum is σ = 314694720. Its totient is φ = 26498304.

The previous prime is 102133309. The next prime is 102133349. The reversal of 102133320 is 23331201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102133320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7062 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (4917105).

Almost surely, 2^102133320 is an apocalyptic number.

102133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133320 is an abundant number, since it is smaller than the sum of its proper divisors (212561400).

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

102133320 is a wasteful number, since it uses less digits than its factorization.

102133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23054 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 102133320 is about 10106.1031065391. The cubic root of 102133320 is about 467.4363511582.

Adding to 102133320 its reverse (23331201), we get a palindrome (125464521).

The spelling of 102133320 in words is "one hundred two million, one hundred thirty-three thousand, three hundred twenty".