105624142 has 16 divisors (see below), whose sum is σ = 178043040. Its totient is φ = 46629792.

The previous prime is 105624139. The next prime is 105624149. The reversal of 105624142 is 241426501.

It is a happy number.

It is a super-2 number, since 2×105624142² = 22312918746472328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105624149) 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, 87717 + ... + 88912.

It is an arithmetic number, because the mean of its divisors is an integer number (11127690).

Almost surely, 2^105624142 is an apocalyptic number.

105624142 is a deficient number, since it is larger than the sum of its proper divisors (72418898).

105624142 is a wasteful number, since it uses less digits than its factorization.

105624142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176667.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 105624142 is about 10277.3606533973. The cubic root of 105624142 is about 472.7023173598.

The spelling of 105624142 in words is "one hundred five million, six hundred twenty-four thousand, one hundred forty-two".