105413591 has 2 divisors, whose sum is σ = 105413592. Its totient is φ = 105413590.

The previous prime is 105413543. The next prime is 105413593. The reversal of 105413591 is 195314501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105413591 - 2²⁶ = 38304727 is a prime.

It is a super-2 number, since 2×105413591² = 22224050335030562, which contains 22 as substring.

Together with 105413593, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105413593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706795 + 52706796.

It is an arithmetic number, because the mean of its divisors is an integer number (52706796).

Almost surely, 2^105413591 is an apocalyptic number.

105413591 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413591 is an equidigital number, since it uses as much as digits as its factorization.

105413591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 105413591 is about 10267.1121061377. The cubic root of 105413591 is about 472.3880137356.

The spelling of 105413591 in words is "one hundred five million, four hundred thirteen thousand, five hundred ninety-one".