105790842 has 12 divisors (see below), whose sum is σ = 229213530. Its totient is φ = 35263608.

The previous prime is 105790831. The next prime is 105790849. The reversal of 105790842 is 248097501.

105790842 is a `hidden beast` number, since 1 + 0 + 579 + 0 + 84 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64304361 + 41486481 = 8019^2 + 6441^2 .

It is a super-2 number, since 2×105790842² = 22383404502137928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105790797 and 105790806.

It is not an unprimeable number, because it can be changed into a prime (105790849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2938617 + ... + 2938652.

Almost surely, 2^105790842 is an apocalyptic number.

105790842 is an abundant number, since it is smaller than the sum of its proper divisors (123422688).

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

105790842 is a wasteful number, since it uses less digits than its factorization.

105790842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5877277 (or 5877274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 105790842 is about 10285.4675148969. The cubic root of 105790842 is about 472.9508655179.

The spelling of 105790842 in words is "one hundred five million, seven hundred ninety thousand, eight hundred forty-two".