100109120 has 28 divisors (see below), whose sum is σ = 238385604. Its totient is φ = 40043520.

The previous prime is 100109101. The next prime is 100109123. The reversal of 100109120 is 21901001.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 90022144 = 3176^2 + 9488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100109095 and 100109104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100109123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156101 + ... + 156740.

Almost surely, 2^100109120 is an apocalyptic number.

100109120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100109120 is an abundant number, since it is smaller than the sum of its proper divisors (138276484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100109120 is an equidigital number, since it uses as much as digits as its factorization.

100109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312858 (or 312848 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 100109120 is about 10005.4545124147. The cubic root of 100109120 is about 464.3276520472.

The spelling of 100109120 in words is "one hundred million, one hundred nine thousand, one hundred twenty".