5577414100 has 18 divisors (see below), whose sum is σ = 12102988814. Its totient is φ = 2230965600.

The previous prime is 5577414097. The next prime is 5577414107. The reversal of 5577414100 is 14147755.

It can be written as a sum of positive squares in 3 ways, for example, as 110586256 + 5466827844 = 10516^2 + 73938^2 .

It is a super-2 number, since 2×5577414100² = 62215096085757620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5577414107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27886971 + ... + 27887170.

Almost surely, 2^5577414100 is an apocalyptic number.

5577414100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5577414100 is an abundant number, since it is smaller than the sum of its proper divisors (6525574714).

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

5577414100 is a wasteful number, since it uses less digits than its factorization.

5577414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55774155 (or 55774148 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 5577414100 is about 74682.0868749662. The cubic root of 5577414100 is about 1773.4173924984.

The spelling of 5577414100 in words is "five billion, five hundred seventy-seven million, four hundred fourteen thousand, one hundred".