105072042 has 16 divisors (see below), whose sum is σ = 210605472. Its totient is φ = 34947120.

The previous prime is 105072041. The next prime is 105072043. The reversal of 105072042 is 240270501.

It is an interprime number because it is at equal distance from previous prime (105072041) and next prime (105072043).

It is a super-2 number, since 2×105072042² = 22080268020099528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105072041) 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, 16228 + ... + 21759.

It is an arithmetic number, because the mean of its divisors is an integer number (13162842).

Almost surely, 2^105072042 is an apocalyptic number.

105072042 is an abundant number, since it is smaller than the sum of its proper divisors (105533430).

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

105072042 is a wasteful number, since it uses less digits than its factorization.

105072042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38453.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 105072042 is about 10250.4654528465. The cubic root of 105072042 is about 471.8772692726.

The spelling of 105072042 in words is "one hundred five million, seventy-two thousand, forty-two".