10315305 has 96 divisors (see below), whose sum is σ = 24111360. Its totient is φ = 3939840.

The previous prime is 10315303. The next prime is 10315307. The reversal of 10315305 is 50351301.

It is a happy number.

10315305 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10315303) and next prime (10315307).

It is not a de Polignac number, because 10315305 - 2¹ = 10315303 is a prime.

10315305 is strictly pandigital in base 8.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44931 + ... + 45159.

It is an arithmetic number, because the mean of its divisors is an integer number (251160).

Almost surely, 2^10315305 is an apocalyptic number.

10315305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10315305 is an abundant number, since it is smaller than the sum of its proper divisors (13796055).

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

10315305 is a wasteful number, since it uses less digits than its factorization.

10315305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10315305 is about 3211.7448528798. The cubic root of 10315305 is about 217.6844254224.

Adding to 10315305 its reverse (50351301), we get a palindrome (60666606).

It can be divided in two parts, 1031 and 5305, that added together give a palindrome (6336).

The spelling of 10315305 in words is "ten million, three hundred fifteen thousand, three hundred five".