10505160 has 128 divisors (see below), whose sum is σ = 35769600. Its totient is φ = 2741760.

The previous prime is 10505141. The next prime is 10505179. The reversal of 10505160 is 6150501.

10505160 is a `hidden beast` number, since 1 + 0 + 505 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (10505141) and next prime (10505179).

It is a super-2 number, since 2×10505160² = 220716773251200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76612 + ... + 76748.

It is an arithmetic number, because the mean of its divisors is an integer number (279450).

Almost surely, 2^10505160 is an apocalyptic number.

10505160 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 10505160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884800).

10505160 is an abundant number, since it is smaller than the sum of its proper divisors (25264440).

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

10505160 is a wasteful number, since it uses less digits than its factorization.

10505160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10505160 is about 3241.1664566943. The cubic root of 10505160 is about 219.0118214673.

Adding to 10505160 its reverse (6150501), we get a palindrome (16655661).

It can be divided in two parts, 105051 and 60, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10505160 in words is "ten million, five hundred five thousand, one hundred sixty".