100133200 has 60 divisors (see below), whose sum is σ = 242172000. Its totient is φ = 39786880.

The previous prime is 100133183. The next prime is 100133203. The reversal of 100133200 is 2331001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66051 + ... + 67549.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^100133200 is an apocalyptic number.

100133200 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 100133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086000).

100133200 is an abundant number, since it is smaller than the sum of its proper divisors (142038800).

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

100133200 is a wasteful number, since it uses less digits than its factorization.

100133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100133200 is about 10006.6577836958. The cubic root of 100133200 is about 464.3648784707.

Adding to 100133200 its reverse (2331001), we get a palindrome (102464201).

The spelling of 100133200 in words is "one hundred million, one hundred thirty-three thousand, two hundred".