105712971 has 16 divisors (see below), whose sum is σ = 173478144. Its totient is φ = 55760544.

The previous prime is 105712951. The next prime is 105712973. The reversal of 105712971 is 179217501.

It is not a de Polignac number, because 105712971 - 2¹¹ = 105710923 is a prime.

It is a super-2 number, since 2×105712971² = 22350464475293682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105712973) 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 15 ways as a sum of consecutive naturals, for example, 193341 + ... + 193886.

It is an arithmetic number, because the mean of its divisors is an integer number (10842384).

Almost surely, 2^105712971 is an apocalyptic number.

105712971 is a deficient number, since it is larger than the sum of its proper divisors (67765173).

105712971 is a wasteful number, since it uses less digits than its factorization.

105712971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387250.

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 105712971 is about 10281.6813313777. The cubic root of 105712971 is about 472.8347930983.

It can be divided in two parts, 1057 and 12971, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 105712971 in words is "one hundred five million, seven hundred twelve thousand, nine hundred seventy-one".