105910816 has 72 divisors (see below), whose sum is σ = 242823420. Its totient is φ = 45281280.

The previous prime is 105910811. The next prime is 105910829. The reversal of 105910816 is 618019501.

It can be written as a sum of positive squares in 2 ways, for example, as 84566416 + 21344400 = 9196^2 + 4620^2 .

It is a super-2 number, since 2×105910816² = 22434201891571712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105910811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65020 + ... + 66628.

Almost surely, 2^105910816 is an apocalyptic number.

105910816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121411710).

105910816 is an abundant number, since it is smaller than the sum of its proper divisors (136912604).

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

105910816 is a wasteful number, since it uses less digits than its factorization.

105910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 105910816 is about 10291.2980716720. The cubic root of 105910816 is about 473.1295841098.

The spelling of 105910816 in words is "one hundred five million, nine hundred ten thousand, eight hundred sixteen".