53107200 has 180 divisors, whose sum is σ = 190468278. Its totient is φ = 14131200.

The previous prime is 53107189. The next prime is 53107267. The reversal of 53107200 is 270135.

It can be written as a sum of positive squares in 3 ways, for example, as 34857216 + 18249984 = 5904^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114970 + ... + 115430.

Almost surely, 2^53107200 is an apocalyptic number.

53107200 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 53107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95234139).

53107200 is an abundant number, since it is smaller than the sum of its proper divisors (137361078).

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

53107200 is a wasteful number, since it uses less digits than its factorization.

53107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 53107200 is about 7287.4686963307. The cubic root of 53107200 is about 375.8816588493.

Adding to 53107200 its reverse (270135), we get a palindrome (53377335).

The spelling of 53107200 in words is "fifty-three million, one hundred seven thousand, two hundred".