100133100 has 216 divisors, whose sum is σ = 336172928. Its totient is φ = 24883200.

The previous prime is 100133081. The next prime is 100133101. The reversal of 100133100 is 1331001.

It is a super-2 number, since 2×100133100² = 20053275431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100133101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1032252 + ... + 1032348.

Almost surely, 2^100133100 is an apocalyptic number.

100133100 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 100133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168086464).

100133100 is an abundant number, since it is smaller than the sum of its proper divisors (236039828).

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

100133100 is a wasteful number, since it uses less digits than its factorization.

100133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100133100 is about 10006.6527870212. The cubic root of 100133100 is about 464.3647238883.

Adding to 100133100 its reverse (1331001), we get a palindrome (101464101).

The spelling of 100133100 in words is "one hundred million, one hundred thirty-three thousand, one hundred".