109941980625 has 45 divisors (see below), whose sum is σ = 198487728439. Its totient is φ = 58622460000.

The previous prime is 109941980579. The next prime is 109941980663. The reversal of 109941980625 is 526089149901.

The square root of 109941980625 is 331575.

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

109941980625 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 1 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 46504491201 + 63437489424 = 215649^2 + 251868^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 109941980625 - 2¹⁷ = 109941849553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24865915 + ... + 24870335.

Almost surely, 2^109941980625 is an apocalyptic number.

109941980625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109941980625 is the 331575-th square number.

109941980625 is the 165788-th centered octagonal number.

It is an amenable number.

109941980625 is a deficient number, since it is larger than the sum of its proper divisors (88545747814).

109941980625 is an frugal number, since it uses more digits than its factorization.

109941980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 109941980625 in words is "one hundred nine billion, nine hundred forty-one million, nine hundred eighty thousand, six hundred twenty-five".