5205900 has 144 divisors (see below), whose sum is σ = 17943296. Its totient is φ = 1140480.

The previous prime is 5205887. The next prime is 5205901. The reversal of 5205900 is 95025.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77667 + ... + 77733.

Almost surely, 2^5205900 is an apocalyptic number.

5205900 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 5205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971648).

5205900 is an abundant number, since it is smaller than the sum of its proper divisors (12737396).

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

5205900 is a wasteful number, since it uses less digits than its factorization.

5205900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5205900 is about 2281.6441440330. The cubic root of 5205900 is about 173.3133195170.

It can be divided in two parts, 5205 and 900, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5205900 in words is "five million, two hundred five thousand, nine hundred".