5126100 has 72 divisors (see below), whose sum is σ = 16957248. Its totient is φ = 1171200.

The previous prime is 5126089. The next prime is 5126113. The reversal of 5126100 is 16215.

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 5126100.

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, 880 + ... + 3320.

Almost surely, 2^5126100 is an apocalyptic number.

5126100 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 5126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478624).

5126100 is an abundant number, since it is smaller than the sum of its proper divisors (11831148).

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

5126100 is a wasteful number, since it uses less digits than its factorization.

5126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5126100 is about 2264.0892208568. The cubic root of 5126100 is about 172.4231962228.

The spelling of 5126100 in words is "five million, one hundred twenty-six thousand, one hundred".