42032100 has 144 divisors (see below), whose sum is σ = 135991296. Its totient is φ = 9936000.

The previous prime is 42032099. The next prime is 42032129. The reversal of 42032100 is 123024.

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

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, 154965 + ... + 155235.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^42032100 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 42032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67995648).

42032100 is an abundant number, since it is smaller than the sum of its proper divisors (93959196).

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

42032100 is a wasteful number, since it uses less digits than its factorization.

42032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

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

The square root of 42032100 is about 6483.2167941540. The cubic root of 42032100 is about 347.6911978545.

Adding to 42032100 its reverse (123024), we get a palindrome (42155124).

The spelling of 42032100 in words is "forty-two million, thirty-two thousand, one hundred".