5385100 has 72 divisors (see below), whose sum is σ = 13714400. Its totient is φ = 1834560.

The previous prime is 5385089. The next prime is 5385131. The reversal of 5385100 is 15835.

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, 34222 + ... + 34378.

Almost surely, 2^5385100 is an apocalyptic number.

5385100 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 5385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857200).

5385100 is an abundant number, since it is smaller than the sum of its proper divisors (8329300).

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

5385100 is a wasteful number, since it uses less digits than its factorization.

5385100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5385100 is about 2320.5818235951. The cubic root of 5385100 is about 175.2795531909.

The spelling of 5385100 in words is "five million, three hundred eighty-five thousand, one hundred".