10541160 has 192 divisors, whose sum is σ = 40435200. Its totient is φ = 2331648.

The previous prime is 10541119. The next prime is 10541161. The reversal of 10541160 is 6114501.

10541160 = T₂₃₅ + T₂₃₆ + ... + T₄₂₃.

It is a super-2 number, since 2×10541160² = 222232108291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10541161) 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, 118396 + ... + 118484.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^10541160 is an apocalyptic number.

10541160 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 10541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

10541160 is an abundant number, since it is smaller than the sum of its proper divisors (29894040).

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

10541160 is a wasteful number, since it uses less digits than its factorization.

10541160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10541160 is about 3246.7152631544. The cubic root of 10541160 is about 219.2617125156.

Adding to 10541160 its reverse (6114501), we get a palindrome (16655661).

It can be divided in two parts, 10541 and 160, that added together give a palindrome (10701).

The spelling of 10541160 in words is "ten million, five hundred forty-one thousand, one hundred sixty".