120450100 has 36 divisors (see below), whose sum is σ = 276755724. Its totient is φ = 45345280.

The previous prime is 120450089. The next prime is 120450163. The reversal of 120450100 is 1054021.

It can be written as a sum of positive squares in 6 ways, for example, as 5788836 + 114661264 = 2406^2 + 10708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33727 + ... + 37126.

It is an arithmetic number, because the mean of its divisors is an integer number (7687659).

Almost surely, 2^120450100 is an apocalyptic number.

120450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120450100 is an abundant number, since it is smaller than the sum of its proper divisors (156305624).

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

120450100 is a wasteful number, since it uses less digits than its factorization.

120450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70884 (or 70877 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 120450100 is about 10974.9760819785. The cubic root of 120450100 is about 493.8583354653.

The spelling of 120450100 in words is "one hundred twenty million, four hundred fifty thousand, one hundred".