105506091 has 16 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 69913224.

The previous prime is 105506087. The next prime is 105506099. The reversal of 105506091 is 190605501.

105506091 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 609 + 1 = 666.

It is not a de Polignac number, because 105506091 - 2² = 105506087 is a prime.

It is a super-3 number, since 3×105506091³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105506099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 16208.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^105506091 is an apocalyptic number.

105506091 is a deficient number, since it is larger than the sum of its proper divisors (51741909).

105506091 is a wasteful number, since it uses less digits than its factorization.

105506091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23575 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105506091 is about 10271.6157930483. The cubic root of 105506091 is about 472.5261461974.

It can be divided in two parts, 10550 and 6091, that added together give a square (16641 = 129²).

The spelling of 105506091 in words is "one hundred five million, five hundred six thousand, ninety-one".