5105400 has 96 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1330560.

The previous prime is 5105393. The next prime is 5105407. The reversal of 5105400 is 45015.

It is an interprime number because it is at equal distance from previous prime (5105393) and next prime (5105407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5105400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105407) 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, 40137 + ... + 40263.

It is an arithmetic number, because the mean of its divisors is an integer number (168640).

Almost surely, 2^5105400 is an apocalyptic number.

5105400 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 5105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

5105400 is an abundant number, since it is smaller than the sum of its proper divisors (11084040).

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

5105400 is a wasteful number, since it uses less digits than its factorization.

5105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5105400 is about 2259.5132219131. The cubic root of 5105400 is about 172.1907924300.

The spelling of 5105400 in words is "five million, one hundred five thousand, four hundred".