105638242 has 16 divisors (see below), whose sum is σ = 165522240. Its totient is φ = 50499792.

The previous prime is 105638231. The next prime is 105638243. The reversal of 105638242 is 242836501.

It is a super-2 number, since 2×105638242² = 22318876345701128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105638243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2868 + ... + 14815.

It is an arithmetic number, because the mean of its divisors is an integer number (10345140).

Almost surely, 2^105638242 is an apocalyptic number.

105638242 is a deficient number, since it is larger than the sum of its proper divisors (59883998).

105638242 is a wasteful number, since it uses less digits than its factorization.

105638242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17817.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 105638242 is about 10278.0466042921. The cubic root of 105638242 is about 472.7233504493.

The spelling of 105638242 in words is "one hundred five million, six hundred thirty-eight thousand, two hundred forty-two".