42106632 has 32 divisors (see below), whose sum is σ = 107717280. Its totient is φ = 13708800.

The previous prime is 42106613. The next prime is 42106657. The reversal of 42106632 is 23660124.

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

It is an unprimeable number.

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, 19369 + ... + 21432.

It is an arithmetic number, because the mean of its divisors is an integer number (3366165).

Almost surely, 2^42106632 is an apocalyptic number.

It is an amenable number.

42106632 is an abundant number, since it is smaller than the sum of its proper divisors (65610648).

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

42106632 is a wasteful number, since it uses less digits than its factorization.

42106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40853 (or 40849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42106632 is about 6488.9623207413. The cubic root of 42106632 is about 347.8965870555.

Adding to 42106632 its reverse (23660124), we get a palindrome (65766756).

The spelling of 42106632 in words is "forty-two million, one hundred six thousand, six hundred thirty-two".