5875100 has 108 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 1814400.

The previous prime is 5875087. The next prime is 5875109. The reversal of 5875100 is 15785.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5875100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5875109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53846 + ... + 53954.

Almost surely, 2^5875100 is an apocalyptic number.

5875100 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 5875100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163540).

5875100 is an abundant number, since it is smaller than the sum of its proper divisors (10451980).

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

5875100 is a wasteful number, since it uses less digits than its factorization.

5875100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 5875100 is about 2423.8605570453. The cubic root of 5875100 is about 180.4423277816.

The spelling of 5875100 in words is "five million, eight hundred seventy-five thousand, one hundred".