102133264600 has 96 divisors (see below), whose sum is σ = 245134779120. Its totient is φ = 39549726720.

The previous prime is 102133264591. The next prime is 102133264613. The reversal of 102133264600 is 6462331201.

102133264600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102133264600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919252 + ... + 1024348.

Almost surely, 2^102133264600 is an apocalyptic number.

102133264600 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 102133264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122567389560).

102133264600 is an abundant number, since it is smaller than the sum of its proper divisors (143001514520).

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

102133264600 is a wasteful number, since it uses less digits than its factorization.

102133264600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105269 (or 105260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 102133264600 its reverse (6462331201), we get a palindrome (108595595801).

The spelling of 102133264600 in words is "one hundred two billion, one hundred thirty-three million, two hundred sixty-four thousand, six hundred".