42020100 has 144 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 11007360.

The previous prime is 42020093. The next prime is 42020131. The reversal of 42020100 is 102024.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213202 + ... + 213398.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 2^42020100 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 42020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

42020100 is an abundant number, since it is smaller than the sum of its proper divisors (95471100).

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

42020100 is a wasteful number, since it uses less digits than its factorization.

42020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42020100 is about 6482.2912615834. The cubic root of 42020100 is about 347.6581065465.

Adding to 42020100 its reverse (102024), we get a palindrome (42122124).

The spelling of 42020100 in words is "forty-two million, twenty thousand, one hundred".