10055305 has 24 divisors (see below), whose sum is σ = 13473432. Its totient is φ = 7160832.

The previous prime is 10055281. The next prime is 10055317. The reversal of 10055305 is 50355001.

10055305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2569609 + 7485696 = 1603^2 + 2736^2 .

It is not a de Polignac number, because 10055305 - 2¹⁹ = 9531017 is a prime.

It is a super-2 number, since 2×10055305² = 202218317286050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88929 + ... + 89041.

It is an arithmetic number, because the mean of its divisors is an integer number (561393).

Almost surely, 2^10055305 is an apocalyptic number.

It is an amenable number.

10055305 is a deficient number, since it is larger than the sum of its proper divisors (3418127).

10055305 is a wasteful number, since it uses less digits than its factorization.

10055305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 10055305 is about 3171.0100914377. The cubic root of 10055305 is about 215.8399090967.

The spelling of 10055305 in words is "ten million, fifty-five thousand, three hundred five".