100233105 has 64 divisors (see below), whose sum is σ = 195706368. Its totient is φ = 42762240.

The previous prime is 100233083. The next prime is 100233109. The reversal of 100233105 is 501332001.

It is a happy number.

It is not a de Polignac number, because 100233105 - 2⁵ = 100233073 is a prime.

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

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 63 ways as a sum of consecutive naturals, for example, 415785 + ... + 416025.

It is an arithmetic number, because the mean of its divisors is an integer number (3057912).

Almost surely, 2^100233105 is an apocalyptic number.

100233105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100233105 is a deficient number, since it is larger than the sum of its proper divisors (95473263).

100233105 is a wasteful number, since it uses less digits than its factorization.

100233105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100233105 is about 10011.6484656624. The cubic root of 100233105 is about 464.5192626738.

Adding to 100233105 its reverse (501332001), we get a palindrome (601565106).

The spelling of 100233105 in words is "one hundred million, two hundred thirty-three thousand, one hundred five".