107640625 has 21 divisors (see below), whose sum is σ = 136189663. Its totient is φ = 85075000.

The previous prime is 107640623. The next prime is 107640629. The reversal of 107640625 is 526046701.

It is a happy number.

The square root of 107640625 is 10375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 94303521 + 13337104 = 9711^2 + 3652^2 .

It is not a de Polignac number, because 107640625 - 2¹ = 107640623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107640623) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1296834 + ... + 1296916.

Almost surely, 2^107640625 is an apocalyptic number.

107640625 is the 10375-th square number.

107640625 is the 5188-th centered octagonal number.

It is an amenable number.

107640625 is a deficient number, since it is larger than the sum of its proper divisors (28549038).

107640625 is an frugal number, since it uses more digits than its factorization.

107640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 107640625 is about 475.6915135692.

The spelling of 107640625 in words is "one hundred seven million, six hundred forty thousand, six hundred twenty-five".