107405552232225 has 81 divisors (see below), whose sum is σ = 208315611171993. Its totient is φ = 52875584648640.

The previous prime is 107405552232137. The next prime is 107405552232229. The reversal of 107405552232225 is 522232255504701.

The square root of 107405552232225 is 10363665.

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

107405552232225 is a `hidden beast` number, since 1 + 0 + 7 + 40 + 5 + 552 + 2 + 32 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27683939971809 + 79721612260416 = 5261553^2 + 8928696^2 .

It is not a de Polignac number, because 107405552232225 - 2¹⁵ = 107405552199457 is a prime.

It is a super-3 number, since 3×107405552232225³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107405552232229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2020888102 + ... + 2020941248.

Almost surely, 2^{107405552232225} is an apocalyptic number.

107405552232225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107405552232225 is the 10363665-th square number.

107405552232225 is the 5181833-rd centered octagonal number.

It is an amenable number.

107405552232225 is a deficient number, since it is larger than the sum of its proper divisors (100910058939768).

107405552232225 is an frugal number, since it uses more digits than its factorization.

107405552232225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106336 (or 53168 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 107405552232225 in words is "one hundred seven trillion, four hundred five billion, five hundred fifty-two million, two hundred thirty-two thousand, two hundred twenty-five".