120165100 has 54 divisors (see below), whose sum is σ = 286647452. Its totient is φ = 43692000.

The previous prime is 120165049. The next prime is 120165107. The reversal of 120165100 is 1561021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120165107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7135 + ... + 17065.

Almost surely, 2^120165100 is an apocalyptic number.

120165100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143323726).

120165100 is an abundant number, since it is smaller than the sum of its proper divisors (166482352).

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

120165100 is a wasteful number, since it uses less digits than its factorization.

120165100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9949 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 120165100 is about 10961.9843094214. The cubic root of 120165100 is about 493.4685176565.

The spelling of 120165100 in words is "one hundred twenty million, one hundred sixty-five thousand, one hundred".