5657100 has 72 divisors (see below), whose sum is σ = 16613520. Its totient is φ = 1486080.

The previous prime is 5657081. The next prime is 5657129. The reversal of 5657100 is 17565.

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, 32614 + ... + 32786.

Almost surely, 2^5657100 is an apocalyptic number.

5657100 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 5657100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306760).

5657100 is an abundant number, since it is smaller than the sum of its proper divisors (10956420).

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

5657100 is a wasteful number, since it uses less digits than its factorization.

5657100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 5657100 is about 2378.4658921246. The cubic root of 5657100 is about 178.1823238094.

The spelling of 5657100 in words is "five million, six hundred fifty-seven thousand, one hundred".