105010661557 has 2 divisors, whose sum is σ = 105010661558. Its totient is φ = 105010661556.

The previous prime is 105010661531. The next prime is 105010661627. The reversal of 105010661557 is 755166010501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68846412996 + 36164248561 = 262386^2 + 190169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105010661557 is a prime.

It is a super-2 number, since 2×105010661557² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105010661057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505330778 + 52505330779.

It is an arithmetic number, because the mean of its divisors is an integer number (52505330779).

Almost surely, 2^105010661557 is an apocalyptic number.

It is an amenable number.

105010661557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010661557 is an equidigital number, since it uses as much as digits as its factorization.

105010661557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 105010661557 in words is "one hundred five billion, ten million, six hundred sixty-one thousand, five hundred fifty-seven".