107706225741921 has 135 divisors (see below), whose sum is σ = 171443835675651. Its totient is φ = 67376017515456.

The previous prime is 107706225741913. The next prime is 107706225742007. The reversal of 107706225741921 is 129147522607701.

It is a happy number.

The square root of 107706225741921 is 10378161.

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

107706225741921 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 0 + 62 + 2 + 574 + 1 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63267150024225 + 44439075717696 = 7954065^2 + 6666264^2 .

It is not a de Polignac number, because 107706225741921 - 2³ = 107706225741913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107706225741721) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 243129177526 + ... + 243129177968.

Almost surely, 2^{107706225741921} is an apocalyptic number.

107706225741921 is the 10378161-st square number.

107706225741921 is the 5189081-st centered octagonal number.

It is an amenable number.

107706225741921 is a deficient number, since it is larger than the sum of its proper divisors (63737609933730).

107706225741921 is an frugal number, since it uses more digits than its factorization.

107706225741921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 107706225741921 in words is "one hundred seven trillion, seven hundred six billion, two hundred twenty-five million, seven hundred forty-one thousand, nine hundred twenty-one".