5105958 has 48 divisors (see below), whose sum is σ = 12110448. Its totient is φ = 1425600.

The previous prime is 5105957. The next prime is 5105981. The reversal of 5105958 is 8595015.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105951) 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, 9168 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (252301).

Almost surely, 2^5105958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055224).

5105958 is an abundant number, since it is smaller than the sum of its proper divisors (7004490).

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

5105958 is a wasteful number, since it uses less digits than its factorization.

5105958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 5105958 is about 2259.6366964625. The cubic root of 5105958 is about 172.1970654587.

The spelling of 5105958 in words is "five million, one hundred five thousand, nine hundred fifty-eight".