105661056 has 32 divisors (see below), whose sum is σ = 280663200. Its totient is φ = 35220224.

The previous prime is 105661043. The next prime is 105661081. The reversal of 105661056 is 650166501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105661056² = 22328517510070272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137196 + ... + 137963.

It is an arithmetic number, because the mean of its divisors is an integer number (8770725).

Almost surely, 2^105661056 is an apocalyptic number.

105661056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105661056 is an abundant number, since it is smaller than the sum of its proper divisors (175002144).

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

105661056 is an equidigital number, since it uses as much as digits as its factorization.

105661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275176 (or 275164 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105661056 is about 10279.1563856184. The cubic root of 105661056 is about 472.7573783230.

Subtracting 105661056 from its reverse (650166501), we obtain a palindrome (544505445).

The spelling of 105661056 in words is "one hundred five million, six hundred sixty-one thousand, fifty-six".