5205550100 has 36 divisors (see below), whose sum is σ = 11407907868. Its totient is φ = 2061600000.

The previous prime is 5205550087. The next prime is 5205550111. The reversal of 5205550100 is 10555025.

It can be written as a sum of positive squares in 6 ways, for example, as 3678724 + 5201871376 = 1918^2 + 72124^2 .

It is a super-2 number, since 2×5205550100² = 54195503687220020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247601 + ... + 267800.

Almost surely, 2^5205550100 is an apocalyptic number.

5205550100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205550100 is an abundant number, since it is smaller than the sum of its proper divisors (6202357768).

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

5205550100 is a wasteful number, since it uses less digits than its factorization.

5205550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515516 (or 515509 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 23.

The square root of 5205550100 is about 72149.4982657537. The cubic root of 5205550100 is about 1733.0943650670.

The spelling of 5205550100 in words is "five billion, two hundred five million, five hundred fifty thousand, one hundred".