63242100 has 144 divisors (see below), whose sum is σ = 207278400. Its totient is φ = 16536960.

The previous prime is 63242087. The next prime is 63242143. The reversal of 63242100 is 124236.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159102 + ... + 159498.

Almost surely, 2^63242100 is an apocalyptic number.

63242100 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 63242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103639200).

63242100 is an abundant number, since it is smaller than the sum of its proper divisors (144036300).

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

63242100 is a wasteful number, since it uses less digits than its factorization.

63242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 63242100 is about 7952.4901760392. The cubic root of 63242100 is about 398.4147675612.

Adding to 63242100 its reverse (124236), we get a palindrome (63366336).

The spelling of 63242100 in words is "sixty-three million, two hundred forty-two thousand, one hundred".