5705100 has 72 divisors (see below), whose sum is σ = 18349520. Its totient is φ = 1520640.

The previous prime is 5705093. The next prime is 5705107. The reversal of 5705100 is 15075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5705093) and next prime (5705107).

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

It is not an unprimeable number, because it can be changed into a prime (5705107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644 + ... + 3756.

Almost surely, 2^5705100 is an apocalyptic number.

5705100 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 5705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174760).

5705100 is an abundant number, since it is smaller than the sum of its proper divisors (12644420).

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

5705100 is a wasteful number, since it uses less digits than its factorization.

5705100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 5705100 is about 2388.5351159236. The cubic root of 5705100 is about 178.6848589802.

The spelling of 5705100 in words is "five million, seven hundred five thousand, one hundred".