5438100 has 36 divisors (see below), whose sum is σ = 15735104. Its totient is φ = 1450080.

The previous prime is 5438099. The next prime is 5438101. The reversal of 5438100 is 18345.

It is an interprime number because it is at equal distance from previous prime (5438099) and next prime (5438101).

It is a super-2 number, since 2×5438100² = 59145863220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8764 + ... + 9363.

Almost surely, 2^5438100 is an apocalyptic number.

5438100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5438100 is an abundant number, since it is smaller than the sum of its proper divisors (10297004).

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

5438100 is a wasteful number, since it uses less digits than its factorization.

5438100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18144 (or 18137 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5438100 is about 2331.9734132275. The cubic root of 5438100 is about 175.8527090698.

The spelling of 5438100 in words is "five million, four hundred thirty-eight thousand, one hundred".