105974801957 has 2 divisors, whose sum is σ = 105974801958. Its totient is φ = 105974801956.

The previous prime is 105974801923. The next prime is 105974802049. The reversal of 105974801957 is 759108479501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82972226401 + 23002575556 = 288049^2 + 151666^2 .

It is a cyclic number.

It is not a de Polignac number, because 105974801957 - 2³⁶ = 37255325221 is a prime.

It is a super-2 number, since 2×105974801957² (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 (105974801557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52987400978 + 52987400979.

It is an arithmetic number, because the mean of its divisors is an integer number (52987400979).

Almost surely, 2^105974801957 is an apocalyptic number.

It is an amenable number.

105974801957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105974801957 is an equidigital number, since it uses as much as digits as its factorization.

105974801957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 56.

The spelling of 105974801957 in words is "one hundred five billion, nine hundred seventy-four million, eight hundred one thousand, nine hundred fifty-seven".