5105434400 has 72 divisors (see below), whose sum is σ = 13596723504. Its totient is φ = 1856518400.

The previous prime is 5105434319. The next prime is 5105434429. The reversal of 5105434400 is 44345015.

It is a self number, because there is not a number n which added to its sum of digits gives 5105434400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281282 + ... + 298881.

It is an arithmetic number, because the mean of its divisors is an integer number (188843382).

Almost surely, 2^5105434400 is an apocalyptic number.

5105434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105434400 is an abundant number, since it is smaller than the sum of its proper divisors (8491289104).

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

5105434400 is a wasteful number, since it uses less digits than its factorization.

5105434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580194 (or 580181 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5105434400 is about 71452.3225654702. The cubic root of 5105434400 is about 1721.9117916761.

Adding to 5105434400 its reverse (44345015), we get a palindrome (5149779415).

The spelling of 5105434400 in words is "five billion, one hundred five million, four hundred thirty-four thousand, four hundred".