52100400 has 120 divisors (see below), whose sum is σ = 182113344. Its totient is φ = 12627200.

The previous prime is 52100371. The next prime is 52100401. The reversal of 52100400 is 400125.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (52100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11227 + ... + 15173.

Almost surely, 2^52100400 is an apocalyptic number.

52100400 is a gapful number since it is divisible by the number (50) 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 52100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056672).

52100400 is an abundant number, since it is smaller than the sum of its proper divisors (130012944).

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

52100400 is a wasteful number, since it uses less digits than its factorization.

52100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 52100400 is about 7218.0606813742. The cubic root of 52100400 is about 373.4911818337.

Adding to 52100400 its reverse (400125), we get a palindrome (52500525).

The spelling of 52100400 in words is "fifty-two million, one hundred thousand, four hundred".