52100064 has 96 divisors (see below), whose sum is σ = 155312640. Its totient is φ = 16983936.

The previous prime is 52100063. The next prime is 52100077. The reversal of 52100064 is 46000125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (52100063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39967 + ... + 41249.

It is an arithmetic number, because the mean of its divisors is an integer number (1617840).

Almost surely, 2^52100064 is an apocalyptic number.

52100064 is a gapful number since it is divisible by the number (54) 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 52100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77656320).

52100064 is an abundant number, since it is smaller than the sum of its proper divisors (103212576).

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

52100064 is a wasteful number, since it uses less digits than its factorization.

52100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

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

The square root of 52100064 is about 7218.0374063869. The cubic root of 52100064 is about 373.4903789396.

Adding to 52100064 its reverse (46000125), we get a palindrome (98100189).

The spelling of 52100064 in words is "fifty-two million, one hundred thousand, sixty-four".