105505191 has 12 divisors (see below), whose sum is σ = 166250760. Its totient is φ = 63942480.

The previous prime is 105505189. The next prime is 105505229. The reversal of 105505191 is 191505501.

It is not a de Polignac number, because 105505191 - 2¹ = 105505189 is a prime.

It is a super-2 number, since 2×105505191² = 22262690655892962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532756 + ... + 532953.

It is an arithmetic number, because the mean of its divisors is an integer number (13854230).

Almost surely, 2^105505191 is an apocalyptic number.

105505191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105505191 is a deficient number, since it is larger than the sum of its proper divisors (60745569).

105505191 is a wasteful number, since it uses less digits than its factorization.

105505191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065726 (or 1065723 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The square root of 105505191 is about 10271.5719829051. The cubic root of 105505191 is about 472.5248025949.

The spelling of 105505191 in words is "one hundred five million, five hundred five thousand, one hundred ninety-one".