42100632 has 96 divisors (see below), whose sum is σ = 131738880. Its totient is φ = 11897280.

The previous prime is 42100631. The next prime is 42100661. The reversal of 42100632 is 23600124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100631) 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, 51507 + ... + 52317.

It is an arithmetic number, because the mean of its divisors is an integer number (1372280).

Almost surely, 2^42100632 is an apocalyptic number.

42100632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 6488×6489.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65869440).

42100632 is an abundant number, since it is smaller than the sum of its proper divisors (89638248).

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

42100632 is a wasteful number, since it uses less digits than its factorization.

42100632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42100632 is about 6488.4999807351. The cubic root of 42100632 is about 347.8800617199.

Adding to 42100632 its reverse (23600124), we get a palindrome (65700756).

The spelling of 42100632 in words is "forty-two million, one hundred thousand, six hundred thirty-two".