105107056 has 80 divisors (see below), whose sum is σ = 229967424. Its totient is φ = 46272512.

The previous prime is 105107053. The next prime is 105107059. The reversal of 105107056 is 650701501.

It is an interprime number because it is at equal distance from previous prime (105107053) and next prime (105107059).

It is a super-2 number, since 2×105107056² = 22094986441974272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105107056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105107053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331410 + ... + 331726.

Almost surely, 2^105107056 is an apocalyptic number.

105107056 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 105107056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114983712).

105107056 is an abundant number, since it is smaller than the sum of its proper divisors (124860368).

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

105107056 is a wasteful number, since it uses less digits than its factorization.

105107056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105107056 is about 10252.1732330272. The cubic root of 105107056 is about 471.9296792681.

Adding to 105107056 its reverse (650701501), we get a palindrome (755808557).

The spelling of 105107056 in words is "one hundred five million, one hundred seven thousand, fifty-six".