5642100 has 54 divisors (see below), whose sum is σ = 17687670. Its totient is φ = 1504320.

The previous prime is 5642099. The next prime is 5642191. The reversal of 5642100 is 12465.

It is a happy number.

5642100 is a `hidden beast` number, since 564 + 2 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 5503716 = 372^2 + 2346^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2235 + ... + 4034.

Almost surely, 2^5642100 is an apocalyptic number.

5642100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5642100 is an abundant number, since it is smaller than the sum of its proper divisors (12045570).

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

5642100 is a wasteful number, since it uses less digits than its factorization.

5642100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5642100 is about 2375.3105060181. The cubic root of 5642100 is about 178.0246988409.

Adding to 5642100 its reverse (12465), we get a palindrome (5654565).

The spelling of 5642100 in words is "five million, six hundred forty-two thousand, one hundred".