105257607721 has 16 divisors (see below), whose sum is σ = 125544729600. Its totient is φ = 86284324368.

The previous prime is 105257607683. The next prime is 105257607751. The reversal of 105257607721 is 127706752501.

It is a cyclic number.

It is not a de Polignac number, because 105257607721 - 2⁷ = 105257607593 is a prime.

It is a super-2 number, since 2×105257607721² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105257607751) 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, 1023010 + ... + 1121188.

It is an arithmetic number, because the mean of its divisors is an integer number (7846545600).

Almost surely, 2^105257607721 is an apocalyptic number.

It is an amenable number.

105257607721 is a deficient number, since it is larger than the sum of its proper divisors (20287121879).

105257607721 is an equidigital number, since it uses as much as digits as its factorization.

105257607721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104868.

The product of its (nonzero) digits is 205800, while the sum is 43.

The spelling of 105257607721 in words is "one hundred five billion, two hundred fifty-seven million, six hundred seven thousand, seven hundred twenty-one".