105757600078057 has 2 divisors, whose sum is σ = 105757600078058. Its totient is φ = 105757600078056.

The previous prime is 105757600078007. The next prime is 105757600078063. The reversal of 105757600078057 is 750870006757501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61349450442921 + 44408149635136 = 7832589^2 + 6663944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105757600078057 is a prime.

It is a super-2 number, since 2×105757600078057² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105757600077992 and 105757600078010.

It is not a weakly prime, because it can be changed into another prime (105757600078007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52878800039028 + 52878800039029.

It is an arithmetic number, because the mean of its divisors is an integer number (52878800039029).

Almost surely, 2^{105757600078057} is an apocalyptic number.

It is an amenable number.

105757600078057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105757600078057 is an equidigital number, since it uses as much as digits as its factorization.

105757600078057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14406000, while the sum is 58.

The spelling of 105757600078057 in words is "one hundred five trillion, seven hundred fifty-seven billion, six hundred million, seventy-eight thousand, fifty-seven".