105972242597 has 16 divisors (see below), whose sum is σ = 114720236400. Its totient is φ = 97310771712.

The previous prime is 105972242549. The next prime is 105972242617. The reversal of 105972242597 is 795242279501.

It can be written as a sum of positive squares in 8 ways, for example, as 2567550241 + 103404692356 = 50671^2 + 321566^2 .

It is a cyclic number.

It is not a de Polignac number, because 105972242597 - 2²² = 105968048293 is a prime.

It is a super-2 number, since 2×105972242597² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105972244597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897529 + ... + 1952577.

It is an arithmetic number, because the mean of its divisors is an integer number (7170014775).

Almost surely, 2^105972242597 is an apocalyptic number.

It is an amenable number.

105972242597 is a deficient number, since it is larger than the sum of its proper divisors (8747993803).

105972242597 is a wasteful number, since it uses less digits than its factorization.

105972242597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55832.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 105972242597 in words is "one hundred five billion, nine hundred seventy-two million, two hundred forty-two thousand, five hundred ninety-seven".