109048550625 has 405 divisors, whose sum is σ = 249977957229. Its totient is φ = 45650304000.

The previous prime is 109048550599. The next prime is 109048550641. The reversal of 109048550625 is 526055840901.

The square root of 109048550625 is 330225.

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

109048550625 is a `hidden beast` number, since 1 + 0 + 90 + 4 + 8 + 550 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 86967779409 + 22080771216 = 294903^2 + 148596^2 .

It is not a de Polignac number, because 109048550625 - 2²⁵ = 109014996193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2947258107 + ... + 2947258143.

Almost surely, 2^109048550625 is an apocalyptic number.

109048550625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109048550625 is the 330225-th square number.

109048550625 is the 165113-rd centered octagonal number.

It is an amenable number.

109048550625 is an abundant number, since it is smaller than the sum of its proper divisors (140929406604).

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

109048550625 is an equidigital number, since it uses as much as digits as its factorization.

109048550625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 109048550625 in words is "one hundred nine billion, forty-eight million, five hundred fifty thousand, six hundred twenty-five".