63314100 has 108 divisors (see below), whose sum is σ = 200674656. Its totient is φ = 16695360.

The previous prime is 63314089. The next prime is 63314107. The reversal of 63314100 is 141336.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63314107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92359 + ... + 93041.

Almost surely, 2^63314100 is an apocalyptic number.

63314100 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 63314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

63314100 is an abundant number, since it is smaller than the sum of its proper divisors (137360556).

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

63314100 is a wasteful number, since it uses less digits than its factorization.

63314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63314100 is about 7957.0157722604. The cubic root of 63314100 is about 398.5659062490.

Adding to 63314100 its reverse (141336), we get a palindrome (63455436).

The spelling of 63314100 in words is "sixty-three million, three hundred fourteen thousand, one hundred".