42302100 has 108 divisors (see below), whose sum is σ = 127012704. Its totient is φ = 10869120.

The previous prime is 42302093. The next prime is 42302101. The reversal of 42302100 is 120324.

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 (42302101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410649 + ... + 410751.

Almost surely, 2^42302100 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 42302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506352).

42302100 is an abundant number, since it is smaller than the sum of its proper divisors (84710604).

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

42302100 is a wasteful number, since it uses less digits than its factorization.

42302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

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

The square root of 42302100 is about 6504.0064575614. The cubic root of 42302100 is about 348.4340929842.

Adding to 42302100 its reverse (120324), we get a palindrome (42422424).

The spelling of 42302100 in words is "forty-two million, three hundred two thousand, one hundred".