42105624 has 32 divisors (see below), whose sum is σ = 114834240. Its totient is φ = 12759200.

The previous prime is 42105619. The next prime is 42105629. The reversal of 42105624 is 42650124.

It is an interprime number because it is at equal distance from previous prime (42105619) and next prime (42105629).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42105594 and 42105603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105629) 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 7 ways as a sum of consecutive naturals, for example, 79482 + ... + 80009.

It is an arithmetic number, because the mean of its divisors is an integer number (3588570).

Almost surely, 2^42105624 is an apocalyptic number.

42105624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42105624 is an abundant number, since it is smaller than the sum of its proper divisors (72728616).

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

42105624 is a wasteful number, since it uses less digits than its factorization.

42105624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159511 (or 159507 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42105624 is about 6488.8846499225. The cubic root of 42105624 is about 347.8938109089.

Adding to 42105624 its reverse (42650124), we get a palindrome (84755748).

The spelling of 42105624 in words is "forty-two million, one hundred five thousand, six hundred twenty-four".