5219100 has 72 divisors (see below), whose sum is σ = 16787120. Its totient is φ = 1391040.

The previous prime is 5219089. The next prime is 5219111. The reversal of 5219100 is 19125.

It is an interprime number because it is at equal distance from previous prime (5219089) and next prime (5219111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734 + ... + 3666.

Almost surely, 2^5219100 is an apocalyptic number.

5219100 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 5219100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393560).

5219100 is an abundant number, since it is smaller than the sum of its proper divisors (11568020).

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

5219100 is a wasteful number, since it uses less digits than its factorization.

5219100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5219100 is about 2284.5349636195. The cubic root of 5219100 is about 173.4596794134.

The spelling of 5219100 in words is "five million, two hundred nineteen thousand, one hundred".