105853056 has 64 divisors (see below), whose sum is σ = 285844800. Its totient is φ = 34698240.

The previous prime is 105853049. The next prime is 105853063. The reversal of 105853056 is 650358501.

It is an interprime number because it is at equal distance from previous prime (105853049) and next prime (105853063).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105853056² = 22409738929078272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21165 + ... + 25683.

It is an arithmetic number, because the mean of its divisors is an integer number (4466325).

Almost surely, 2^105853056 is an apocalyptic number.

105853056 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 105853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142922400).

105853056 is an abundant number, since it is smaller than the sum of its proper divisors (179991744).

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

105853056 is an equidigital number, since it uses as much as digits as its factorization.

105853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 105853056 is about 10288.4914346079. The cubic root of 105853056 is about 473.0435591087.

Subtracting 105853056 from its reverse (650358501), we obtain a palindrome (544505445).

The spelling of 105853056 in words is "one hundred five million, eight hundred fifty-three thousand, fifty-six".