107449562025 has 135 divisors (see below), whose sum is σ = 213606972345. Its totient is φ = 51608044800.

The previous prime is 107449561997. The next prime is 107449562027. The reversal of 107449562025 is 520265944701.

The square root of 107449562025 is 327795.

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

107449562025 is a `hidden beast` number, since 10 + 7 + 4 + 4 + 9 + 5 + 620 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 865595241 + 106583966784 = 29421^2 + 326472^2 .

It is not a de Polignac number, because 107449562025 - 2²⁹ = 106912691113 is a prime.

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 (107449562027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2620721005 + ... + 2620721045.

Almost surely, 2^107449562025 is an apocalyptic number.

107449562025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107449562025 is the 327795-th square number.

107449562025 is the 163898-th centered octagonal number.

It is an amenable number.

107449562025 is a deficient number, since it is larger than the sum of its proper divisors (106157410320).

107449562025 is an frugal number, since it uses more digits than its factorization.

107449562025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 107449562025 in words is "one hundred seven billion, four hundred forty-nine million, five hundred sixty-two thousand, twenty-five".