107112253745025 has 189 divisors, whose sum is σ = 205851950743257. Its totient is φ = 55261388937600.

The previous prime is 107112253744997. The next prime is 107112253745051. The reversal of 107112253745025 is 520547352211701.

The square root of 107112253745025 is 10349505.

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

107112253745025 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 1 + 22 + 53 + 74 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1398734347761 + 105713519397264 = 1182681^2 + 10281708^2 .

It is not a de Polignac number, because 107112253745025 - 2⁷ = 107112253744897 is a prime.

It is a super-2 number, since 2×107112253745025² (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 43312677189 + ... + 43312679661.

Almost surely, 2^{107112253745025} is an apocalyptic number.

107112253745025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107112253745025 is the 10349505-th square number.

107112253745025 is the 5174753-rd centered octagonal number.

It is an amenable number.

107112253745025 is a deficient number, since it is larger than the sum of its proper divisors (98739696998232).

107112253745025 is an frugal number, since it uses more digits than its factorization.

107112253745025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 107112253745025 in words is "one hundred seven trillion, one hundred twelve billion, two hundred fifty-three million, seven hundred forty-five thousand, twenty-five".