105878164957 has 2 divisors, whose sum is σ = 105878164958. Its totient is φ = 105878164956.

The previous prime is 105878164927. The next prime is 105878164979. The reversal of 105878164957 is 759461878501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71470140921 + 34408024036 = 267339^2 + 185494^2 .

It is a cyclic number.

It is not a de Polignac number, because 105878164957 - 2³¹ = 103730681309 is a prime.

It is a super-2 number, since 2×105878164957² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105878164895 and 105878164904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105878164927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52939082478 + 52939082479.

It is an arithmetic number, because the mean of its divisors is an integer number (52939082479).

Almost surely, 2^105878164957 is an apocalyptic number.

It is an amenable number.

105878164957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105878164957 is an equidigital number, since it uses as much as digits as its factorization.

105878164957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16934400, while the sum is 61.

The spelling of 105878164957 in words is "one hundred five billion, eight hundred seventy-eight million, one hundred sixty-four thousand, nine hundred fifty-seven".