105915913 has 2 divisors, whose sum is σ = 105915914. Its totient is φ = 105915912.

The previous prime is 105915869. The next prime is 105915977. The reversal of 105915913 is 319519501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70358544 + 35557369 = 8388^2 + 5963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105915913 is a prime.

It is a super-2 number, since 2×105915913² = 22436361253247138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105915113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52957956 + 52957957.

It is an arithmetic number, because the mean of its divisors is an integer number (52957957).

Almost surely, 2^105915913 is an apocalyptic number.

It is an amenable number.

105915913 is a deficient number, since it is larger than the sum of its proper divisors (1).

105915913 is an equidigital number, since it uses as much as digits as its factorization.

105915913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 34.

The square root of 105915913 is about 10291.5457050921. The cubic root of 105915913 is about 473.1371738377.

The spelling of 105915913 in words is "one hundred five million, nine hundred fifteen thousand, nine hundred thirteen".