105738042 has 16 divisors (see below), whose sum is σ = 213453792. Its totient is φ = 34916400.

The previous prime is 105738037. The next prime is 105738043. The reversal of 105738042 is 240837501.

It is a super-2 number, since 2×105738042² = 22361067051987528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105738043) 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, 81709 + ... + 82992.

It is an arithmetic number, because the mean of its divisors is an integer number (13340862).

Almost surely, 2^105738042 is an apocalyptic number.

105738042 is an abundant number, since it is smaller than the sum of its proper divisors (107715750).

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

105738042 is a wasteful number, since it uses less digits than its factorization.

105738042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164813.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 105738042 is about 10282.9004663081. The cubic root of 105738042 is about 472.8721694769.

The spelling of 105738042 in words is "one hundred five million, seven hundred thirty-eight thousand, forty-two".