105122557 has 2 divisors, whose sum is σ = 105122558. Its totient is φ = 105122556.

The previous prime is 105122527. The next prime is 105122561. The reversal of 105122557 is 755221501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93973636 + 11148921 = 9694^2 + 3339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105122557 is a prime.

It is a super-2 number, since 2×105122557² = 22101503980436498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105122527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561278 + 52561279.

It is an arithmetic number, because the mean of its divisors is an integer number (52561279).

Almost surely, 2^105122557 is an apocalyptic number.

It is an amenable number.

105122557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122557 is an equidigital number, since it uses as much as digits as its factorization.

105122557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 105122557 is about 10252.9291912117. The cubic root of 105122557 is about 471.9528779085.

The spelling of 105122557 in words is "one hundred five million, one hundred twenty-two thousand, five hundred fifty-seven".