10605160 has 16 divisors (see below), whose sum is σ = 23861700. Its totient is φ = 4242048.

The previous prime is 10605149. The next prime is 10605167. The reversal of 10605160 is 6150601.

It can be written as a sum of positive squares in 2 ways, for example, as 10536516 + 68644 = 3246^2 + 262^2 .

It is a super-2 number, since 2×10605160² = 224938837251200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132525 + ... + 132604.

Almost surely, 2^10605160 is an apocalyptic number.

10605160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605160 is an abundant number, since it is smaller than the sum of its proper divisors (13256540).

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

10605160 is a wasteful number, since it uses less digits than its factorization.

10605160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265140 (or 265136 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10605160 is about 3256.5564635056. The cubic root of 10605160 is about 219.7045621119.

Adding to 10605160 its reverse (6150601), we get a palindrome (16755761).

It can be divided in two parts, 10 and 605160, that multiplied together give a square (6051600 = 2460²).

The spelling of 10605160 in words is "ten million, six hundred five thousand, one hundred sixty".