5105376 has 96 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1607040.

The previous prime is 5105341. The next prime is 5105377. The reversal of 5105376 is 6735015.

5105376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16261 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^5105376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5105376 is an abundant number, since it is smaller than the sum of its proper divisors (10619424).

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

5105376 is a wasteful number, since it uses less digits than its factorization.

5105376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5105376 is about 2259.5079110284. The cubic root of 5105376 is about 172.1905226121.

It can be divided in two parts, 510 and 5376, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5105376 in words is "five million, one hundred five thousand, three hundred seventy-six".