42410100 has 72 divisors (see below), whose sum is σ = 123360160. Its totient is φ = 11249280.

The previous prime is 42410099. The next prime is 42410101. The reversal of 42410100 is 101424.

It is an interprime number because it is at equal distance from previous prime (42410099) and next prime (42410101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111711 + ... + 112089.

Almost surely, 2^42410100 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 42410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61680080).

42410100 is an abundant number, since it is smaller than the sum of its proper divisors (80950060).

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

42410100 is a wasteful number, since it uses less digits than its factorization.

42410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42410100 is about 6512.3037398451. The cubic root of 42410100 is about 348.7303659249.

Adding to 42410100 its reverse (101424), we get a palindrome (42511524).

The spelling of 42410100 in words is "forty-two million, four hundred ten thousand, one hundred".