100507133 has 16 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 94850496.

The previous prime is 100507129. The next prime is 100507151. The reversal of 100507133 is 331705001.

It is a happy number.

It is not a de Polignac number, because 100507133 - 2² = 100507129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100507163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209588 + ... + 210066.

It is an arithmetic number, because the mean of its divisors is an integer number (6648480).

Almost surely, 2^100507133 is an apocalyptic number.

It is an amenable number.

100507133 is a deficient number, since it is larger than the sum of its proper divisors (5868547).

100507133 is a wasteful number, since it uses less digits than its factorization.

100507133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 100507133 is about 10025.3245832741. The cubic root of 100507133 is about 464.9421949958.

The spelling of 100507133 in words is "one hundred million, five hundred seven thousand, one hundred thirty-three".