105722657 has 2 divisors, whose sum is σ = 105722658. Its totient is φ = 105722656.

The previous prime is 105722627. The next prime is 105722663. The reversal of 105722657 is 756227501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89794576 + 15928081 = 9476^2 + 3991^2 .

It is a cyclic number.

It is not a de Polignac number, because 105722657 - 2¹⁴ = 105706273 is a prime.

It is a super-2 number, since 2×105722657² = 22354560406279298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105722627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52861328 + 52861329.

It is an arithmetic number, because the mean of its divisors is an integer number (52861329).

Almost surely, 2^105722657 is an apocalyptic number.

It is an amenable number.

105722657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105722657 is an equidigital number, since it uses as much as digits as its factorization.

105722657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 105722657 is about 10282.1523524990. The cubic root of 105722657 is about 472.8492338930.

The spelling of 105722657 in words is "one hundred five million, seven hundred twenty-two thousand, six hundred fifty-seven".