42100100 has 72 divisors (see below), whose sum is σ = 105409920. Its totient is φ = 14296320.

The previous prime is 42100087. The next prime is 42100103. The reversal of 42100100 is 100124.

It is not an unprimeable number, because it can be changed into a prime (42100103) 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, 95681 + ... + 96119.

Almost surely, 2^42100100 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 42100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704960).

42100100 is an abundant number, since it is smaller than the sum of its proper divisors (63309820).

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

42100100 is a wasteful number, since it uses less digits than its factorization.

42100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 42100100 is about 6488.4589849979. The cubic root of 42100100 is about 347.8785963977.

Adding to 42100100 its reverse (100124), we get a palindrome (42200224).

The spelling of 42100100 in words is "forty-two million, one hundred thousand, one hundred".