42100000 has 72 divisors (see below), whose sum is σ = 103844916. Its totient is φ = 16800000.

The previous prime is 42099977. The next prime is 42100001. The reversal of 42100000 is 124.

It can be written as a sum of positive squares in 6 ways, for example, as 18011536 + 24088464 = 4244^2 + 4908^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (42100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99790 + ... + 100210.

Almost surely, 2^42100000 is an apocalyptic number.

42100000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51922458).

42100000 is an abundant number, since it is smaller than the sum of its proper divisors (61744916).

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

42100000 is an frugal number, since it uses more digits than its factorization.

42100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 42100000 is about 6488.4512790033. The cubic root of 42100000 is about 347.8783209598.

Adding to 42100000 its reverse (124), we get a palindrome (42100124).

The spelling of 42100000 in words is "forty-two million, one hundred thousand".