105205027957 has 2 divisors, whose sum is σ = 105205027958. Its totient is φ = 105205027956.

The previous prime is 105205027933. The next prime is 105205027981. The reversal of 105205027957 is 759720502501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105205027933) and next prime (105205027981).

It can be written as a sum of positive squares in only one way, i.e., 64113278436 + 41091749521 = 253206^2 + 202711^2 .

It is a cyclic number.

It is not a de Polignac number, because 105205027957 - 2¹¹ = 105205025909 is a prime.

It is a super-2 number, since 2×105205027957² (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 (105205027157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602513978 + 52602513979.

It is an arithmetic number, because the mean of its divisors is an integer number (52602513979).

Almost surely, 2^105205027957 is an apocalyptic number.

It is an amenable number.

105205027957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105205027957 is an equidigital number, since it uses as much as digits as its factorization.

105205027957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 105205027957 in words is "one hundred five billion, two hundred five million, twenty-seven thousand, nine hundred fifty-seven".