105457290177599 has 16 divisors (see below), whose sum is σ = 114679118897568. Its totient is φ = 96570873971712.

The previous prime is 105457290177593. The next prime is 105457290177601. The reversal of 105457290177599 is 995771092754501.

It is a happy number.

It is a Cunningham number, because it is equal to 10269240²-1.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105457290177599 is a prime.

It is a super-2 number, since 2×105457290177599² (a number of 29 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 (105457290177593) 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, 174275027 + ... + 174879099.

It is an arithmetic number, because the mean of its divisors is an integer number (7167444931098).

Almost surely, 2^{105457290177599} is an apocalyptic number.

105457290177599 is a deficient number, since it is larger than the sum of its proper divisors (9221828719969).

105457290177599 is a wasteful number, since it uses less digits than its factorization.

105457290177599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881674.

The product of its (nonzero) digits is 250047000, while the sum is 71.

The spelling of 105457290177599 in words is "one hundred five trillion, four hundred fifty-seven billion, two hundred ninety million, one hundred seventy-seven thousand, five hundred ninety-nine".