109709808320025 has 63 divisors (see below), whose sum is σ = 203969566379631. Its totient is φ = 58511143625040.

The previous prime is 109709808319879. The next prime is 109709808320027. The reversal of 109709808320025 is 520023808907901.

The square root of 109709808320025 is 10474245.

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

It can be written as a sum of positive squares in only one way, i.e., 39495530995209 + 70214277324816 = 6284547^2 + 8379396^2 .

It is not a de Polignac number, because 109709808320025 - 2¹⁵ = 109709808287257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109709808320027) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1413984282 + ... + 1414061868.

Almost surely, 2^{109709808320025} is an apocalyptic number.

109709808320025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109709808320025 is the 10474245-th square number.

109709808320025 is the 5237123-rd centered octagonal number.

It is an amenable number.

109709808320025 is a deficient number, since it is larger than the sum of its proper divisors (94259758059606).

109709808320025 is an frugal number, since it uses more digits than its factorization.

109709808320025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155202 (or 77595 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 109709808320025 in words is "one hundred nine trillion, seven hundred nine billion, eight hundred eight million, three hundred twenty thousand, twenty-five".