105842160 has 160 divisors (see below), whose sum is σ = 383904000. Its totient is φ = 26728704.

The previous prime is 105842147. The next prime is 105842171. The reversal of 105842160 is 61248501.

105842160 is a `hidden beast` number, since 1 + 0 + 584 + 21 + 60 = 666.

It is a super-2 number, since 2×105842160² = 22405125666931200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 39751 + ... + 42329.

It is an arithmetic number, because the mean of its divisors is an integer number (2399400).

Almost surely, 2^105842160 is an apocalyptic number.

105842160 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 105842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191952000).

105842160 is an abundant number, since it is smaller than the sum of its proper divisors (278061840).

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

105842160 is a wasteful number, since it uses less digits than its factorization.

105842160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105842160 is about 10287.9618972856. The cubic root of 105842160 is about 473.0273276155.

The spelling of 105842160 in words is "one hundred five million, eight hundred forty-two thousand, one hundred sixty".