5608100 has 18 divisors (see below), whose sum is σ = 12169794. Its totient is φ = 2243200.

The previous prime is 5608091. The next prime is 5608121. The reversal of 5608100 is 18065.

5608100 = T₁₉₅ + T₁₉₆ + ... + T₃₄₄.

It can be written as a sum of positive squares in 3 ways, for example, as 676 + 5607424 = 26^2 + 2368^2 .

It is a super-2 number, since 2×5608100² = 62901571220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27941 + ... + 28140.

Almost surely, 2^5608100 is an apocalyptic number.

5608100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5608100 is an abundant number, since it is smaller than the sum of its proper divisors (6561694).

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

5608100 is a wasteful number, since it uses less digits than its factorization.

5608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56095 (or 56088 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5608100 is about 2368.1427321849. The cubic root of 5608100 is about 177.6663784154. Note that the first 3 decimals are identical.

The spelling of 5608100 in words is "five million, six hundred eight thousand, one hundred".