52110100 has 144 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 16128000.

The previous prime is 52110089. The next prime is 52110133. The reversal of 52110100 is 101125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345025 + ... + 345175.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^52110100 is an apocalyptic number.

52110100 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 52110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

52110100 is an abundant number, since it is smaller than the sum of its proper divisors (90380780).

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

52110100 is a wasteful number, since it uses less digits than its factorization.

52110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 52110100 is about 7218.7325757365. The cubic root of 52110100 is about 373.5143591327.

Adding to 52110100 its reverse (101125), we get a palindrome (52211225).

The spelling of 52110100 in words is "fifty-two million, one hundred ten thousand, one hundred".