105042557 has 2 divisors, whose sum is σ = 105042558. Its totient is φ = 105042556.

The previous prime is 105042493. The next prime is 105042569. The reversal of 105042557 is 755240501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99780121 + 5262436 = 9989^2 + 2294^2 .

It is a cyclic number.

It is not a de Polignac number, because 105042557 - 2⁶ = 105042493 is a prime.

It is a super-2 number, since 2×105042557² = 22067877562196498, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105042257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52521278 + 52521279.

It is an arithmetic number, because the mean of its divisors is an integer number (52521279).

Almost surely, 2^105042557 is an apocalyptic number.

It is an amenable number.

105042557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105042557 is an equidigital number, since it uses as much as digits as its factorization.

105042557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 105042557 is about 10249.0271245616. The cubic root of 105042557 is about 471.8331262172.

The spelling of 105042557 in words is "one hundred five million, forty-two thousand, five hundred fifty-seven".