100135107 has 12 divisors (see below), whose sum is σ = 146471520. Its totient is φ = 65911248.

The previous prime is 100135103. The next prime is 100135109. The reversal of 100135107 is 701531001.

It is a happy number.

It is not a de Polignac number, because 100135107 - 2² = 100135103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100135107.

It is not an unprimeable number, because it can be changed into a prime (100135103) 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, 69708 + ... + 71129.

It is an arithmetic number, because the mean of its divisors is an integer number (12205960).

Almost surely, 2^100135107 is an apocalyptic number.

100135107 is a deficient number, since it is larger than the sum of its proper divisors (46336413).

100135107 is a wasteful number, since it uses less digits than its factorization.

100135107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140922 (or 140919 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 100135107 is about 10006.7530698024. The cubic root of 100135107 is about 464.3678263382.

Adding to 100135107 its reverse (701531001), we get a palindrome (801666108).

The spelling of 100135107 in words is "one hundred million, one hundred thirty-five thousand, one hundred seven".