105491160 has 96 divisors (see below), whose sum is σ = 355577040. Its totient is φ = 28128384.

The previous prime is 105491093. The next prime is 105491189. The reversal of 105491160 is 61194501.

105491160 is a `hidden beast` number, since 1 + 0 + 549 + 116 + 0 = 666.

It is a super-2 number, since 2×105491160² = 22256769676291200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4294 + ... + 15146.

Almost surely, 2^105491160 is an apocalyptic number.

105491160 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 105491160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177788520).

105491160 is an abundant number, since it is smaller than the sum of its proper divisors (250085880).

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

105491160 is a wasteful number, since it uses less digits than its factorization.

105491160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105491160 is about 10270.8889586053. Note that the first 3 decimals coincide. The cubic root of 105491160 is about 472.5038548438.

The spelling of 105491160 in words is "one hundred five million, four hundred ninety-one thousand, one hundred sixty".