105080957 has 2 divisors, whose sum is σ = 105080958. Its totient is φ = 105080956.

The previous prime is 105080953. The next prime is 105080971. The reversal of 105080957 is 759080501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104325796 + 755161 = 10214^2 + 869^2 .

It is an emirp because it is prime and its reverse (759080501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105080957 - 2² = 105080953 is a prime.

It is a super-2 number, since 2×105080957² = 22084015048071698, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105080953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52540478 + 52540479.

It is an arithmetic number, because the mean of its divisors is an integer number (52540479).

Almost surely, 2^105080957 is an apocalyptic number.

It is an amenable number.

105080957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105080957 is an equidigital number, since it uses as much as digits as its factorization.

105080957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 105080957 is about 10250.9003019247. The cubic root of 105080957 is about 471.8906146142.

The spelling of 105080957 in words is "one hundred five million, eighty thousand, nine hundred fifty-seven".