105601353 has 32 divisors (see below), whose sum is σ = 167795712. Its totient is φ = 58228800.

The previous prime is 105601337. The next prime is 105601357. The reversal of 105601353 is 353106501.

It is not a de Polignac number, because 105601353 - 2⁴ = 105601337 is a prime.

It is a super-2 number, since 2×105601353² = 22303291510861218, which contains 22 as substring.

105601353 is a modest number, since divided by 1353 gives 1056 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105601357) 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 31 ways as a sum of consecutive naturals, for example, 28726 + ... + 32192.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2^105601353 is an apocalyptic number.

105601353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105601353 is a deficient number, since it is larger than the sum of its proper divisors (62194359).

105601353 is a wasteful number, since it uses less digits than its factorization.

105601353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105601353 is about 10276.2518945382. The cubic root of 105601353 is about 472.6683188574.

Adding to 105601353 its reverse (353106501), we get a palindrome (458707854).

The spelling of 105601353 in words is "one hundred five million, six hundred one thousand, three hundred fifty-three".