100055205 has 12 divisors (see below), whose sum is σ = 173429100. Its totient is φ = 53362752.

The previous prime is 100055203. The next prime is 100055213. The reversal of 100055205 is 502550001.

It can be written as a sum of positive squares in 2 ways, for example, as 57244356 + 42810849 = 7566^2 + 6543^2 .

It is not a de Polignac number, because 100055205 - 2¹ = 100055203 is a prime.

It is a super-3 number, since 3×100055205³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100055201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111680 + ... + 1111769.

It is an arithmetic number, because the mean of its divisors is an integer number (14452425).

Almost surely, 2^100055205 is an apocalyptic number.

100055205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100055205 is a deficient number, since it is larger than the sum of its proper divisors (73373895).

100055205 is a wasteful number, since it uses less digits than its factorization.

100055205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223460 (or 2223457 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 100055205 is about 10002.7598691561. The cubic root of 100055205 is about 464.2442806192.

The spelling of 100055205 in words is "one hundred million, fifty-five thousand, two hundred five".