10141160 has 64 divisors (see below), whose sum is σ = 24295680. Its totient is φ = 3801600.

The previous prime is 10141141. The next prime is 10141169. The reversal of 10141160 is 6114101.

It is a super-2 number, since 2×10141160² = 205686252291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10141169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67085 + ... + 67235.

It is an arithmetic number, because the mean of its divisors is an integer number (379620).

Almost surely, 2^10141160 is an apocalyptic number.

10141160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147840).

10141160 is an abundant number, since it is smaller than the sum of its proper divisors (14154520).

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

10141160 is a wasteful number, since it uses less digits than its factorization.

10141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 10141160 is about 3184.5188019542. The cubic root of 10141160 is about 216.4524694447.

Adding to 10141160 its reverse (6114101), we get a palindrome (16255261).

It can be divided in two parts, 10141 and 160, that added together give a palindrome (10301).

The spelling of 10141160 in words is "ten million, one hundred forty-one thousand, one hundred sixty".