107997019641 has 27 divisors (see below), whose sum is σ = 181475976591. Its totient is φ = 61708639104.

The previous prime is 107997019631. The next prime is 107997019657. The reversal of 107997019641 is 146910799701.

The square root of 107997019641 is 328629.

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

It can be written as a sum of positive squares in only one way, i.e., 18069005241 + 89928014400 = 134421^2 + 299880^2 .

It is not a de Polignac number, because 107997019641 - 2¹³ = 107997011449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107997019631) 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 26 ways as a sum of consecutive naturals, for example, 6893385 + ... + 6909033.

Almost surely, 2^107997019641 is an apocalyptic number.

107997019641 is the 328629-th square number.

107997019641 is the 164315-th centered octagonal number.

It is an amenable number.

107997019641 is a deficient number, since it is larger than the sum of its proper divisors (73478956950).

107997019641 is an frugal number, since it uses more digits than its factorization.

107997019641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 15659 counting only the distinct ones).

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

The spelling of 107997019641 in words is "one hundred seven billion, nine hundred ninety-seven million, nineteen thousand, six hundred forty-one".