105803971 has 24 divisors (see below), whose sum is σ = 138664224. Its totient is φ = 78773760.

The previous prime is 105803963. The next prime is 105803993. The reversal of 105803971 is 179308501.

It is a happy number.

It is not a de Polignac number, because 105803971 - 2³ = 105803963 is a prime.

It is a super-2 number, since 2×105803971² = 22388960558737682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105803941) 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 23 ways as a sum of consecutive naturals, for example, 17481 + ... + 22741.

It is an arithmetic number, because the mean of its divisors is an integer number (5777676).

Almost surely, 2^105803971 is an apocalyptic number.

105803971 is a deficient number, since it is larger than the sum of its proper divisors (32860253).

105803971 is a wasteful number, since it uses less digits than its factorization.

105803971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 105803971 is about 10286.1057256865. The cubic root of 105803971 is about 472.9704296407.

The spelling of 105803971 in words is "one hundred five million, eight hundred three thousand, nine hundred seventy-one".