5185100 has 36 divisors (see below), whose sum is σ = 11848200. Its totient is φ = 1964160.

The previous prime is 5185067. The next prime is 5185121. The reversal of 5185100 is 15815.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536 + ... + 3264.

Almost surely, 2^5185100 is an apocalyptic number.

5185100 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 5185100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924100).

5185100 is an abundant number, since it is smaller than the sum of its proper divisors (6663100).

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

5185100 is a wasteful number, since it uses less digits than its factorization.

5185100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 5185100 is about 2277.0814653850. The cubic root of 5185100 is about 173.0821888870.

The spelling of 5185100 in words is "five million, one hundred eighty-five thousand, one hundred".