107770870625625 has 675 divisors, whose sum is σ = 219229639950321. Its totient is φ = 52740199008000.

The previous prime is 107770870625573. The next prime is 107770870625641. The reversal of 107770870625625 is 526526078077701.

It is a happy number.

The square root of 107770870625625 is 10381275.

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

107770870625625 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 7 + 0 + 8 + 7 + 0 + 62 + 562 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 103696156963161 + 4074713662464 = 10183131^2 + 2018592^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 107770870625625 - 2¹³ = 107770870617433 is a prime.

It is a super-2 number, since 2×107770870625625² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 674 ways as a sum of consecutive naturals, for example, 2506299316854 + ... + 2506299316896.

Almost surely, 2^{107770870625625} is an apocalyptic number.

107770870625625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107770870625625 is the 10381275-th square number.

107770870625625 is the 5190638-th centered octagonal number.

It is an amenable number.

107770870625625 is an abundant number, since it is smaller than the sum of its proper divisors (111458769324696).

107770870625625 is an frugal number, since it uses more digits than its factorization.

107770870625625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 107770870625625 in words is "one hundred seven trillion, seven hundred seventy billion, eight hundred seventy million, six hundred twenty-five thousand, six hundred twenty-five".