64052100 has 144 divisors (see below), whose sum is σ = 235401600. Its totient is φ = 14636160.

The previous prime is 64052089. The next prime is 64052119. The reversal of 64052100 is 125046.

It is a happy number.

64052100 is a `hidden beast` number, since 640 + 5 + 21 + 0 + 0 = 666.

64052100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17206 + ... + 20594.

Almost surely, 2^64052100 is an apocalyptic number.

64052100 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 64052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117700800).

64052100 is an abundant number, since it is smaller than the sum of its proper divisors (171349500).

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

64052100 is a wasteful number, since it uses less digits than its factorization.

64052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 64052100 is about 8003.2555875718. The cubic root of 64052100 is about 400.1085122267.

Adding to 64052100 its reverse (125046), we get a palindrome (64177146).

The spelling of 64052100 in words is "sixty-four million, fifty-two thousand, one hundred".