105100591 has 2 divisors, whose sum is σ = 105100592. Its totient is φ = 105100590.

The previous prime is 105100561. The next prime is 105100603. The reversal of 105100591 is 195001501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105100591 - 2¹³ = 105092399 is a prime.

It is a super-2 number, since 2×105100591² = 22092268457098562, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105100531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52550295 + 52550296.

It is an arithmetic number, because the mean of its divisors is an integer number (52550296).

Almost surely, 2^105100591 is an apocalyptic number.

105100591 is a deficient number, since it is larger than the sum of its proper divisors (1).

105100591 is an equidigital number, since it uses as much as digits as its factorization.

105100591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 22.

The square root of 105100591 is about 10251.8579291756. The cubic root of 105100591 is about 471.9200031403.

The spelling of 105100591 in words is "one hundred five million, one hundred thousand, five hundred ninety-one".