105064971 has 16 divisors (see below), whose sum is σ = 153500160. Its totient is φ = 63393120.

The previous prime is 105064963. The next prime is 105064987. The reversal of 105064971 is 179460501.

It is not a de Polignac number, because 105064971 - 2³ = 105064963 is a prime.

It is a super-2 number, since 2×105064971² = 22077296262461682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105064901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606 + ... + 14508.

It is an arithmetic number, because the mean of its divisors is an integer number (9593760).

Almost surely, 2^105064971 is an apocalyptic number.

105064971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105064971 is a deficient number, since it is larger than the sum of its proper divisors (48435189).

105064971 is a wasteful number, since it uses less digits than its factorization.

105064971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105064971 is about 10250.1205358766. The cubic root of 105064971 is about 471.8666837767.

The spelling of 105064971 in words is "one hundred five million, sixty-four thousand, nine hundred seventy-one".