53705100 has 72 divisors (see below), whose sum is σ = 160770960. Its totient is φ = 13825280.

The previous prime is 53705083. The next prime is 53705101. The reversal of 53705100 is 150735.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53705101) 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, 5614 + ... + 11786.

It is an arithmetic number, because the mean of its divisors is an integer number (2232930).

Almost surely, 2^53705100 is an apocalyptic number.

53705100 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 53705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80385480).

53705100 is an abundant number, since it is smaller than the sum of its proper divisors (107065860).

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

53705100 is a wasteful number, since it uses less digits than its factorization.

53705100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 53705100 is about 7328.3763549643. The cubic root of 53705100 is about 377.2870017517.

Adding to 53705100 its reverse (150735), we get a palindrome (53855835).

The spelling of 53705100 in words is "fifty-three million, seven hundred five thousand, one hundred".