105742112 has 24 divisors (see below), whose sum is σ = 237920256. Its totient is φ = 45317952.

The previous prime is 105742111. The next prime is 105742121. The reversal of 105742112 is 211247501.

It is a super-2 number, since 2×105742112² = 22362788500441088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105742111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235808 + ... + 236255.

It is an arithmetic number, because the mean of its divisors is an integer number (9913344).

Almost surely, 2^105742112 is an apocalyptic number.

It is an amenable number.

105742112 is an abundant number, since it is smaller than the sum of its proper divisors (132178144).

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

105742112 is an equidigital number, since it uses as much as digits as its factorization.

105742112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472080 (or 472072 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105742112 is about 10283.0983657651. The cubic root of 105742112 is about 472.8782365618.

Adding to 105742112 its reverse (211247501), we get a palindrome (316989613).

The spelling of 105742112 in words is "one hundred five million, seven hundred forty-two thousand, one hundred twelve".