10605315 has 48 divisors (see below), whose sum is σ = 20224512. Its totient is φ = 4729536.

The previous prime is 10605313. The next prime is 10605319. The reversal of 10605315 is 51350601.

It is a happy number.

10605315 is a nontrivial binomial coefficient, being equal to C(4606, 2).

It is not a de Polignac number, because 10605315 - 2¹ = 10605313 is a prime.

It is a super-2 number, since 2×10605315² = 224945412498450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10605291 and 10605300.

It is not an unprimeable number, because it can be changed into a prime (10605311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34392 + ... + 34698.

It is an arithmetic number, because the mean of its divisors is an integer number (421344).

Almost surely, 2^10605315 is an apocalyptic number.

10605315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10605315 is the 4605-th triangular number and also the 2303-rd hexagonal number.

10605315 is a deficient number, since it is larger than the sum of its proper divisors (9619197).

10605315 is a wasteful number, since it uses less digits than its factorization.

10605315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 10605315 is about 3256.5802615627. The cubic root of 10605315 is about 219.7056324726.

Adding to 10605315 its reverse (51350601), we get a palindrome (61955916).

The spelling of 10605315 in words is "ten million, six hundred five thousand, three hundred fifteen".