105574842 has 24 divisors (see below), whose sum is σ = 228961044. Its totient is φ = 35158464.

The previous prime is 105574837. The next prime is 105574891. The reversal of 105574842 is 248475501.

105574842 is a `hidden beast` number, since 1 + 0 + 5 + 574 + 84 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103612041 + 1962801 = 10179^2 + 1401^2 .

It is a super-2 number, since 2×105574842² = 22292094526649928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105574797 and 105574806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23748 + ... + 27840.

Almost surely, 2^105574842 is an apocalyptic number.

105574842 is an abundant number, since it is smaller than the sum of its proper divisors (123386202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105574842 is a wasteful number, since it uses less digits than its factorization.

105574842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 105574842 is about 10274.9618977396. The cubic root of 105574842 is about 472.6287614142.

The spelling of 105574842 in words is "one hundred five million, five hundred seventy-four thousand, eight hundred forty-two".