105935942 has 24 divisors (see below), whose sum is σ = 195723864. Its totient is φ = 42729792.

The previous prime is 105935941. The next prime is 105935957. The reversal of 105935942 is 249539501.

It is a super-2 number, since 2×105935942² = 22444847614854728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105935896 and 105935905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105935941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30128 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (8155161).

Almost surely, 2^105935942 is an apocalyptic number.

105935942 is a deficient number, since it is larger than the sum of its proper divisors (89787922).

105935942 is a wasteful number, since it uses less digits than its factorization.

105935942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63620 (or 63613 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 105935942 is about 10292.5187393563. The cubic root of 105935942 is about 473.1669958191.

The spelling of 105935942 in words is "one hundred five million, nine hundred thirty-five thousand, nine hundred forty-two".