105190091 has 2 divisors, whose sum is σ = 105190092. Its totient is φ = 105190090.

The previous prime is 105190081. The next prime is 105190093. The reversal of 105190091 is 190091501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105190091 - 2⁶ = 105190027 is a prime.

It is a super-2 number, since 2×105190091² = 22129910489176562, which contains 22 as substring.

Together with 105190093, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105190091.

It is not a weakly prime, because it can be changed into another prime (105190093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52595045 + 52595046.

It is an arithmetic number, because the mean of its divisors is an integer number (52595046).

Almost surely, 2^105190091 is an apocalyptic number.

105190091 is a deficient number, since it is larger than the sum of its proper divisors (1).

105190091 is an equidigital number, since it uses as much as digits as its factorization.

105190091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 26.

The square root of 105190091 is about 10256.2220627286. Note that the first 3 decimals coincide. The cubic root of 105190091 is about 472.0539220092.

The spelling of 105190091 in words is "one hundred five million, one hundred ninety thousand, ninety-one".