42100800 has 252 divisors, whose sum is σ = 161574480. Its totient is φ = 9569280.

The previous prime is 42100771. The next prime is 42100811. The reversal of 42100800 is 800124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42100800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235111 + ... + 235289.

Almost surely, 2^42100800 is an apocalyptic number.

42100800 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 42100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80787240).

42100800 is an abundant number, since it is smaller than the sum of its proper divisors (119473680).

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

42100800 is a wasteful number, since it uses less digits than its factorization.

42100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42100800 is about 6488.5129267036. The cubic root of 42100800 is about 347.8805244507.

Adding to 42100800 its reverse (800124), we get a palindrome (42900924).

The spelling of 42100800 in words is "forty-two million, one hundred thousand, eight hundred".