105613742 has 32 divisors (see below), whose sum is σ = 180364800. Its totient is φ = 45979488.

The previous prime is 105613727. The next prime is 105613777. The reversal of 105613742 is 247316501.

It is a super-2 number, since 2×105613742² = 22308524998485128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216623 + ... + 217109.

It is an arithmetic number, because the mean of its divisors is an integer number (5636400).

Almost surely, 2^105613742 is an apocalyptic number.

105613742 is a deficient number, since it is larger than the sum of its proper divisors (74751058).

105613742 is a wasteful number, since it uses less digits than its factorization.

105613742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105613742 is about 10276.8546744614. The cubic root of 105613742 is about 472.6868023921.

The spelling of 105613742 in words is "one hundred five million, six hundred thirteen thousand, seven hundred forty-two".