100112109 has 16 divisors (see below), whose sum is σ = 135831360. Its totient is φ = 65577600.

The previous prime is 100112107. The next prime is 100112141. The reversal of 100112109 is 901211001.

It is not a de Polignac number, because 100112109 - 2¹ = 100112107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40929 + ... + 43305.

It is an arithmetic number, because the mean of its divisors is an integer number (8489460).

Almost surely, 2^100112109 is an apocalyptic number.

It is an amenable number.

100112109 is a deficient number, since it is larger than the sum of its proper divisors (35719251).

100112109 is a wasteful number, since it uses less digits than its factorization.

100112109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 100112109 is about 10005.6038798265. The cubic root of 100112109 is about 464.3322732097.

The spelling of 100112109 in words is "one hundred million, one hundred twelve thousand, one hundred nine".