42105252 has 48 divisors (see below), whose sum is σ = 112637952. Its totient is φ = 11991840.

The previous prime is 42105251. The next prime is 42105253. The reversal of 42105252 is 25250124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42105251) and next prime (42105253).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42105251) 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 15 ways as a sum of consecutive naturals, for example, 35623 + ... + 36785.

It is an arithmetic number, because the mean of its divisors is an integer number (2346624).

Almost surely, 2^42105252 is an apocalyptic number.

42105252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42105252 is an abundant number, since it is smaller than the sum of its proper divisors (70532700).

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

42105252 is a wasteful number, since it uses less digits than its factorization.

42105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42105252 is about 6488.8559854569. The cubic root of 42105252 is about 347.8927863674.

Adding to 42105252 its reverse (25250124), we get a palindrome (67355376).

The spelling of 42105252 in words is "forty-two million, one hundred five thousand, two hundred fifty-two".