5306100 has 72 divisors (see below), whose sum is σ = 16040640. Its totient is φ = 1351680.

The previous prime is 5306099. The next prime is 5306113. The reversal of 5306100 is 16035.

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 5306100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6516 + ... + 7284.

Almost surely, 2^5306100 is an apocalyptic number.

5306100 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 5306100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020320).

5306100 is an abundant number, since it is smaller than the sum of its proper divisors (10734540).

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

5306100 is a wasteful number, since it uses less digits than its factorization.

5306100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5306100 is about 2303.4973410013. The cubic root of 5306100 is about 174.4182039887.

The spelling of 5306100 in words is "five million, three hundred six thousand, one hundred".