1107160 has 32 divisors (see below), whose sum is σ = 2527200. Its totient is φ = 436480.

The previous prime is 1107157. The next prime is 1107167. The reversal of 1107160 is 617011.

1107160 = T₂₁₅ + T₂₁₆ + ... + T₂₅₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405 + ... + 3715.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

2^1107160 is an apocalyptic number.

1107160 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 1107160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263600).

1107160 is an abundant number, since it is smaller than the sum of its proper divisors (1420040).

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

1107160 is a wasteful number, since it uses less digits than its factorization.

1107160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 1107160 is about 1052.2167077176. The cubic root of 1107160 is about 103.4515008445.

The spelling of 1107160 in words is "one million, one hundred seven thousand, one hundred sixty".