109264624704 has 105 divisors (see below), whose sum is σ = 323965142391. Its totient is φ = 36413608320.

The previous prime is 109264624681. The next prime is 109264624741. The reversal of 109264624704 is 407426462901.

The square root of 109264624704 is 330552.

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

109264624704 is a `hidden beast` number, since 10 + 9 + 2 + 6 + 4 + 624 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 109264624704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23797449 + ... + 23802039.

Almost surely, 2^109264624704 is an apocalyptic number.

109264624704 is the 330552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109264624704

109264624704 is an abundant number, since it is smaller than the sum of its proper divisors (214700517687).

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

109264624704 is an frugal number, since it uses more digits than its factorization.

109264624704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 109264624704 in words is "one hundred nine billion, two hundred sixty-four million, six hundred twenty-four thousand, seven hundred four".