105965853 has 32 divisors (see below), whose sum is σ = 172634112. Its totient is φ = 56496000.

The previous prime is 105965833. The next prime is 105965887. The reversal of 105965853 is 358569501.

It is not a de Polignac number, because 105965853 - 2⁸ = 105965597 is a prime.

It is a super-3 number, since 3×105965853³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105965813) 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, 17128 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (5394816).

Almost surely, 2^105965853 is an apocalyptic number.

It is an amenable number.

105965853 is a deficient number, since it is larger than the sum of its proper divisors (66668259).

105965853 is a wasteful number, since it uses less digits than its factorization.

105965853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425.

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 105965853 is about 10293.9716824946. The cubic root of 105965853 is about 473.2115245092.

The spelling of 105965853 in words is "one hundred five million, nine hundred sixty-five thousand, eight hundred fifty-three".