100005205 has 16 divisors (see below), whose sum is σ = 122742720. Its totient is φ = 78198912.

The previous prime is 100005197. The next prime is 100005239. The reversal of 100005205 is 502500001.

It is a cyclic number.

It is not a de Polignac number, because 100005205 - 2³ = 100005197 is a prime.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44806 + ... + 46984.

It is an arithmetic number, because the mean of its divisors is an integer number (7671420).

Almost surely, 2^100005205 is an apocalyptic number.

It is an amenable number.

100005205 is a deficient number, since it is larger than the sum of its proper divisors (22737515).

100005205 is a wasteful number, since it uses less digits than its factorization.

100005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 100005205 is about 10000.2602466136. The cubic root of 100005205 is about 464.1669363782.

Adding to 100005205 its reverse (502500001), we get a palindrome (602505206).

The spelling of 100005205 in words is "one hundred million, five thousand, two hundred five".