107197962921 has 45 divisors (see below), whose sum is σ = 186315606279. Its totient is φ = 61244192016.

The previous prime is 107197962913. The next prime is 107197962953. The reversal of 107197962921 is 129269791701.

The square root of 107197962921 is 327411.

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

107197962921 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 9 + 7 + 9 + 629 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49037888025 + 58160074896 = 221445^2 + 241164^2 .

It is not a de Polignac number, because 107197962921 - 2³ = 107197962913 is a prime.

It is a super-2 number, since 2×107197962921² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107197762921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20624295 + ... + 20629491.

Almost surely, 2^107197962921 is an apocalyptic number.

107197962921 is the 327411-st square number.

107197962921 is the 163706-th centered octagonal number.

It is an amenable number.

107197962921 is a deficient number, since it is larger than the sum of its proper divisors (79117643358).

107197962921 is an frugal number, since it uses more digits than its factorization.

107197962921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 107197962921 in words is "one hundred seven billion, one hundred ninety-seven million, nine hundred sixty-two thousand, nine hundred twenty-one".