106811856 has 60 divisors (see below), whose sum is σ = 299759460. Its totient is φ = 35504640.

The previous prime is 106811851. The next prime is 106811879. The reversal of 106811856 is 658118601.

It can be written as a sum of positive squares in 2 ways, for example, as 76737600 + 30074256 = 8760^2 + 5484^2 .

It is a super-2 number, since 2×106811856² = 22817545164329472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106811856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106811851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65580 + ... + 67188.

It is an arithmetic number, because the mean of its divisors is an integer number (4995991).

Almost surely, 2^106811856 is an apocalyptic number.

106811856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106811856 is an abundant number, since it is smaller than the sum of its proper divisors (192947604).

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

106811856 is a wasteful number, since it uses less digits than its factorization.

106811856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 106811856 is about 10334.9821480252. The cubic root of 106811856 is about 474.4675192799.

The spelling of 106811856 in words is "one hundred six million, eight hundred eleven thousand, eight hundred fifty-six".