5138100 has 144 divisors (see below), whose sum is σ = 18123840. Its totient is φ = 1238400.

The previous prime is 5138099. The next prime is 5138101. The reversal of 5138100 is 18315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5138099) and next prime (5138101).

It is a super-2 number, since 2×5138100² = 52800143220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138101) 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, 29614 + ... + 29786.

It is an arithmetic number, because the mean of its divisors is an integer number (125860).

Almost surely, 2^5138100 is an apocalyptic number.

5138100 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 5138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061920).

5138100 is an abundant number, since it is smaller than the sum of its proper divisors (12985740).

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

5138100 is a wasteful number, since it uses less digits than its factorization.

5138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5138100 is about 2266.7377439836. The cubic root of 5138100 is about 172.5576366946.

The spelling of 5138100 in words is "five million, one hundred thirty-eight thousand, one hundred".