5106400 has 72 divisors (see below), whose sum is σ = 13452264. Its totient is φ = 1881600.

The previous prime is 5106397. The next prime is 5106419. The reversal of 5106400 is 46015.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 10155 + ... + 10645.

It is an arithmetic number, because the mean of its divisors is an integer number (186837).

Almost surely, 2^5106400 is an apocalyptic number.

5106400 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 5106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726132).

5106400 is an abundant number, since it is smaller than the sum of its proper divisors (8345864).

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

5106400 is a wasteful number, since it uses less digits than its factorization.

5106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5106400 is about 2259.7344976789. The cubic root of 5106400 is about 172.2020340925.

The spelling of 5106400 in words is "five million, one hundred six thousand, four hundred".