100233100 has 36 divisors (see below), whose sum is σ = 237281688. Its totient is φ = 36448000.

The previous prime is 100233083. The next prime is 100233109. The reversal of 100233100 is 1332001.

It is a super-2 number, since 2×100233100² = 20093348671220000, which contains 22 as substring.

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

100233100 is a modest number, since divided by 233100 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100233109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44461 + ... + 46660.

It is an arithmetic number, because the mean of its divisors is an integer number (6591158).

Almost surely, 2^100233100 is an apocalyptic number.

100233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100233100 is an abundant number, since it is smaller than the sum of its proper divisors (137048588).

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

100233100 is a wasteful number, since it uses less digits than its factorization.

100233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91146 (or 91139 counting only the distinct ones).

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

The square root of 100233100 is about 10011.6482159533. The cubic root of 100233100 is about 464.5192549498.

Adding to 100233100 its reverse (1332001), we get a palindrome (101565101).

The spelling of 100233100 in words is "one hundred million, two hundred thirty-three thousand, one hundred".