120780100 has 81 divisors (see below), whose sum is σ = 306837783. Its totient is φ = 41146560.

The previous prime is 120780089. The next prime is 120780119. The reversal of 120780100 is 1087021.

The square root of 120780100 is 10990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14607684 + 106172416 = 3822^2 + 10304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769222 + ... + 769378.

Almost surely, 2^120780100 is an apocalyptic number.

120780100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120780100 is the 10990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120780100

120780100 is an abundant number, since it is smaller than the sum of its proper divisors (186057683).

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

120780100 is a wasteful number, since it uses less digits than its factorization.

120780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The cubic root of 120780100 is about 494.3089360125.

The spelling of 120780100 in words is "one hundred twenty million, seven hundred eighty thousand, one hundred".