42105492 has 72 divisors (see below), whose sum is σ = 125055840. Its totient is φ = 11776320.

The previous prime is 42105491. The next prime is 42105493. The reversal of 42105492 is 29450124.

It is an interprime number because it is at equal distance from previous prime (42105491) and next prime (42105493).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059 + ... + 9237.

Almost surely, 2^42105492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42105492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62527920).

42105492 is an abundant number, since it is smaller than the sum of its proper divisors (82950348).

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

42105492 is a wasteful number, since it uses less digits than its factorization.

42105492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42105492 is about 6488.8744786750. The cubic root of 42105492 is about 347.8934473626.

The spelling of 42105492 in words is "forty-two million, one hundred five thousand, four hundred ninety-two".