116805105 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 59351040.

The previous prime is 116805097. The next prime is 116805107. The reversal of 116805105 is 501508611.

It is not a de Polignac number, because 116805105 - 2³ = 116805097 is a prime.

It is a super-2 number, since 2×116805105² = 27286865108122050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116805107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259921 + ... + 260369.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^116805105 is an apocalyptic number.

116805105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116805105 is a deficient number, since it is larger than the sum of its proper divisors (100922895).

116805105 is a wasteful number, since it uses less digits than its factorization.

116805105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 116805105 is about 10807.6410469630. The cubic root of 116805105 is about 488.8255992930.

The spelling of 116805105 in words is "one hundred sixteen million, eight hundred five thousand, one hundred five".