63385100 has 36 divisors (see below), whose sum is σ = 139813968. Its totient is φ = 24936000.

The previous prime is 63385081. The next prime is 63385103. The reversal of 63385100 is 158336.

63385100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63385100.

It is not an unprimeable number, because it can be changed into a prime (63385103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905 + ... + 11295.

Almost surely, 2^63385100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69906984).

63385100 is an abundant number, since it is smaller than the sum of its proper divisors (76428868).

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

63385100 is a wasteful number, since it uses less digits than its factorization.

63385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 63385100 is about 7961.4759938092. The cubic root of 63385100 is about 398.7148336240.

The spelling of 63385100 in words is "sixty-three million, three hundred eighty-five thousand, one hundred".