100133877 has 16 divisors (see below), whose sum is σ = 137511360. Its totient is φ = 64766592.

The previous prime is 100133863. The next prime is 100133899. The reversal of 100133877 is 778331001.

It is not a de Polignac number, because 100133877 - 2⁴ = 100133861 is a prime.

It is a super-2 number, since 2×100133877² = 20053586646102258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133807) 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, 45433 + ... + 47585.

It is an arithmetic number, because the mean of its divisors is an integer number (8594460).

Almost surely, 2^100133877 is an apocalyptic number.

It is an amenable number.

100133877 is a deficient number, since it is larger than the sum of its proper divisors (37377483).

100133877 is a wasteful number, since it uses less digits than its factorization.

100133877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 100133877 is about 10006.6916111170. The cubic root of 100133877 is about 464.3659249911.

Adding to 100133877 its reverse (778331001), we get a palindrome (878464878).

The spelling of 100133877 in words is "one hundred million, one hundred thirty-three thousand, eight hundred seventy-seven".