63800100 has 432 divisors, whose sum is σ = 265399680. Its totient is φ = 12441600.

The previous prime is 63800071. The next prime is 63800111. The reversal of 63800100 is 100836.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1556080 + ... + 1556120.

Almost surely, 2^63800100 is an apocalyptic number.

63800100 is a gapful number since it is divisible by the number (60) 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 63800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132699840).

63800100 is an abundant number, since it is smaller than the sum of its proper divisors (201599580).

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

63800100 is a wasteful number, since it uses less digits than its factorization.

63800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 63800100 is about 7987.4964788725. The cubic root of 63800100 is about 399.5831073188.

Adding to 63800100 its reverse (100836), we get a palindrome (63900936).

The spelling of 63800100 in words is "sixty-three million, eight hundred thousand, one hundred".