53105416 has 96 divisors (see below), whose sum is σ = 132292440. Its totient is φ = 19740672.

The previous prime is 53105411. The next prime is 53105453. The reversal of 53105416 is 61450135.

It can be written as a sum of positive squares in 4 ways, for example, as 25542916 + 27562500 = 5054^2 + 5250^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53105411) 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, 86326 + ... + 86938.

Almost surely, 2^53105416 is an apocalyptic number.

53105416 is a gapful number since it is divisible by the number (56) 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 53105416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66146220).

53105416 is an abundant number, since it is smaller than the sum of its proper divisors (79187024).

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

53105416 is a wasteful number, since it uses less digits than its factorization.

53105416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 53105416 is about 7287.3462934048. The cubic root of 53105416 is about 375.8774498758.

The spelling of 53105416 in words is "fifty-three million, one hundred five thousand, four hundred sixteen".