105298971 has 16 divisors (see below), whose sum is σ = 149928960. Its totient is φ = 65590560.

The previous prime is 105298967. The next prime is 105298981. The reversal of 105298971 is 179892501.

It is not a de Polignac number, because 105298971 - 2² = 105298967 is a prime.

It is a super-2 number, since 2×105298971² = 22175746587317682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105298981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16825 + ... + 22218.

It is an arithmetic number, because the mean of its divisors is an integer number (9370560).

Almost surely, 2^105298971 is an apocalyptic number.

105298971 is a deficient number, since it is larger than the sum of its proper divisors (44629989).

105298971 is a wasteful number, since it uses less digits than its factorization.

105298971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39106.

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 105298971 is about 10261.5286872863. The cubic root of 105298971 is about 472.2167367995.

The spelling of 105298971 in words is "one hundred five million, two hundred ninety-eight thousand, nine hundred seventy-one".