10105160 has 32 divisors (see below), whose sum is σ = 24486840. Its totient is φ = 3730944.

The previous prime is 10105153. The next prime is 10105189. The reversal of 10105160 is 6150101.

It can be written as a sum of positive squares in 4 ways, for example, as 3865156 + 6240004 = 1966^2 + 2498^2 .

It is a super-2 number, since 2×10105160² = 204228517251200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9197 + ... + 10236.

Almost surely, 2^10105160 is an apocalyptic number.

10105160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105160 is an abundant number, since it is smaller than the sum of its proper divisors (14381680).

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

10105160 is a wasteful number, since it uses less digits than its factorization.

10105160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19457 (or 19453 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 10105160 is about 3178.8614313933. The cubic root of 10105160 is about 216.1960383028.

Adding to 10105160 its reverse (6150101), we get a palindrome (16255261).

The spelling of 10105160 in words is "ten million, one hundred five thousand, one hundred sixty".