105833957 has 2 divisors, whose sum is σ = 105833958. Its totient is φ = 105833956.

The previous prime is 105833947. The next prime is 105833999. The reversal of 105833957 is 759338501.

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., 55338721 + 50495236 = 7439^2 + 7106^2 .

It is a cyclic number.

It is not a de Polignac number, because 105833957 - 2⁴ = 105833941 is a prime.

It is a super-2 number, since 2×105833957² = 22401652908555698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105833947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52916978 + 52916979.

It is an arithmetic number, because the mean of its divisors is an integer number (52916979).

Almost surely, 2^105833957 is an apocalyptic number.

It is an amenable number.

105833957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105833957 is an equidigital number, since it uses as much as digits as its factorization.

105833957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 105833957 is about 10287.5632197328. The cubic root of 105833957 is about 473.0151070807.

The spelling of 105833957 in words is "one hundred five million, eight hundred thirty-three thousand, nine hundred fifty-seven".