1166105810 has 48 divisors (see below), whose sum is σ = 2226600576. Its totient is φ = 439636896.

The previous prime is 1166105783. The next prime is 1166105813. The reversal of 1166105810 is 185016611.

It is a super-2 number, since 2×1166105810² = 2719605520231512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166105813) by changing a digit.

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, 818759 + ... + 820181.

It is an arithmetic number, because the mean of its divisors is an integer number (46387512).

Almost surely, 2^1166105810 is an apocalyptic number.

1166105810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166105810 is a deficient number, since it is larger than the sum of its proper divisors (1060494766).

1166105810 is a wasteful number, since it uses less digits than its factorization.

1166105810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 1166105810 is about 34148.2914653135. The cubic root of 1166105810 is about 1052.5578786466.

The spelling of 1166105810 in words is "one billion, one hundred sixty-six million, one hundred five thousand, eight hundred ten".