100113105 has 16 divisors (see below), whose sum is σ = 165348864. Its totient is φ = 51671040.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113105 is 501311001.

It is not a de Polignac number, because 100113105 - 2¹⁷ = 99982033 is a prime.

It is an unprimeable number.

It is a nontrivial repunit in base 464.

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 15 ways as a sum of consecutive naturals, for example, 107184 + ... + 108113.

It is an arithmetic number, because the mean of its divisors is an integer number (10334304).

Almost surely, 2^100113105 is an apocalyptic number.

100113105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100113105 is a deficient number, since it is larger than the sum of its proper divisors (65235759).

100113105 is a wasteful number, since it uses less digits than its factorization.

100113105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215336.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 100113105 is about 10005.6536518111. The cubic root of 100113105 is about 464.3338130614. Note that the first 3 decimals are identical.

Adding to 100113105 its reverse (501311001), we get a palindrome (601424106).

The spelling of 100113105 in words is "one hundred million, one hundred thirteen thousand, one hundred five".