105856011 has 16 divisors (see below), whose sum is σ = 165078400. Its totient is φ = 66856104.

The previous prime is 105855989. The next prime is 105856019. The reversal of 105856011 is 110658501.

105856011 is a `hidden beast` number, since 1 + 0 + 58 + 5 + 601 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-105856011 is a prime.

It is a super-2 number, since 2×105856011² = 22410990129664242, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105856019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102661 + ... + 103686.

It is an arithmetic number, because the mean of its divisors is an integer number (10317400).

Almost surely, 2^105856011 is an apocalyptic number.

105856011 is a deficient number, since it is larger than the sum of its proper divisors (59222389).

105856011 is a wasteful number, since it uses less digits than its factorization.

105856011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206375 (or 206369 counting only the distinct ones).

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

The square root of 105856011 is about 10288.6350406650. The cubic root of 105856011 is about 473.0479609048.

The spelling of 105856011 in words is "one hundred five million, eight hundred fifty-six thousand, eleven".