1166167105 has 8 divisors (see below), whose sum is σ = 1481718312. Its totient is φ = 878055168.

The previous prime is 1166167103. The next prime is 1166167187. The reversal of 1166167105 is 5017616611.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 1005587521 = 12672^2 + 31711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1166167105 - 2¹ = 1166167103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1166167103) 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, 6859722 + ... + 6859891.

It is an arithmetic number, because the mean of its divisors is an integer number (185214789).

Almost surely, 2^1166167105 is an apocalyptic number.

It is an amenable number.

1166167105 is a deficient number, since it is larger than the sum of its proper divisors (315551207).

1166167105 is a wasteful number, since it uses less digits than its factorization.

1166167105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13719635.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 1166167105 is about 34149.1889361958. The cubic root of 1166167105 is about 1052.5763204850.

The spelling of 1166167105 in words is "one billion, one hundred sixty-six million, one hundred sixty-seven thousand, one hundred five".