42100032 has 112 divisors (see below), whose sum is σ = 121871232. Its totient is φ = 12748800.

The previous prime is 42100031. The next prime is 42100033. The reversal of 42100032 is 23000124.

It is an interprime number because it is at equal distance from previous prime (42100031) and next prime (42100033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42099990 and 42100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252013 + ... + 252179.

It is an arithmetic number, because the mean of its divisors is an integer number (1088136).

Almost surely, 2^42100032 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 42100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60935616).

42100032 is an abundant number, since it is smaller than the sum of its proper divisors (79771200).

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

42100032 is a wasteful number, since it uses less digits than its factorization.

42100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42100032 is about 6488.4537449226. The cubic root of 42100032 is about 347.8784091000.

Adding to 42100032 its reverse (23000124), we get a palindrome (65100156).

The spelling of 42100032 in words is "forty-two million, one hundred thousand, thirty-two".