105081616 has 40 divisors (see below), whose sum is σ = 214640280. Its totient is φ = 49760256.

The previous prime is 105081611. The next prime is 105081617. The reversal of 105081616 is 616180501.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 89113600 = 3996^2 + 9440^2 .

It is a super-2 number, since 2×105081616² = 22084292042342912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105081611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22456 + ... + 26728.

It is an arithmetic number, because the mean of its divisors is an integer number (5366007).

Almost surely, 2^105081616 is an apocalyptic number.

105081616 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 105081616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107320140).

105081616 is an abundant number, since it is smaller than the sum of its proper divisors (109558664).

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

105081616 is a wasteful number, since it uses less digits than its factorization.

105081616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105081616 is about 10250.9324453925. The cubic root of 105081616 is about 471.8916010767.

The spelling of 105081616 in words is "one hundred five million, eighty-one thousand, six hundred sixteen".