105992541 has 12 divisors (see below), whose sum is σ = 153203232. Its totient is φ = 70614216.

The previous prime is 105992461. The next prime is 105992561. The reversal of 105992541 is 145299501.

105992541 is a `hidden beast` number, since 1 + 0 + 599 + 25 + 41 = 666.

It is not a de Polignac number, because 105992541 - 2¹⁸ = 105730397 is a prime.

It is a super-2 number, since 2×105992541² = 22468837495273362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105992496 and 105992505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105992561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14920 + ... + 20846.

It is an arithmetic number, because the mean of its divisors is an integer number (12766936).

Almost surely, 2^105992541 is an apocalyptic number.

It is an amenable number.

105992541 is a deficient number, since it is larger than the sum of its proper divisors (47210691).

105992541 is a wasteful number, since it uses less digits than its factorization.

105992541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 105992541 is about 10295.2678935519. The cubic root of 105992541 is about 473.2512480262.

The spelling of 105992541 in words is "one hundred five million, nine hundred ninety-two thousand, five hundred forty-one".