42100200 has 144 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 10627200.

The previous prime is 42100193. The next prime is 42100207. The reversal of 42100200 is 200124.

It is an interprime number because it is at equal distance from previous prime (42100193) and next prime (42100207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33585 + ... + 34815.

Almost surely, 2^42100200 is an apocalyptic number.

42100200 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 42100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

42100200 is an abundant number, since it is smaller than the sum of its proper divisors (106848600).

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

42100200 is a wasteful number, since it uses less digits than its factorization.

42100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

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

The square root of 42100200 is about 6488.4666909833. The cubic root of 42100200 is about 347.8788718352.

Adding to 42100200 its reverse (200124), we get a palindrome (42300324).

The spelling of 42100200 in words is "forty-two million, one hundred thousand, two hundred".