100133793 has 16 divisors (see below), whose sum is σ = 149419200. Its totient is φ = 66273120.

The previous prime is 100133783. The next prime is 100133807. The reversal of 100133793 is 397331001.

It is not a de Polignac number, because 100133793 - 2²² = 95939489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100133783) 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, 9588 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (9338700).

Almost surely, 2^100133793 is an apocalyptic number.

It is an amenable number.

100133793 is a deficient number, since it is larger than the sum of its proper divisors (49285407).

100133793 is a wasteful number, since it uses less digits than its factorization.

100133793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26829 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 100133793 is about 10006.6874139247. The cubic root of 100133793 is about 464.3657951425.

Adding to 100133793 its reverse (397331001), we get a palindrome (497464794).

The spelling of 100133793 in words is "one hundred million, one hundred thirty-three thousand, seven hundred ninety-three".