105972971 has 6 divisors (see below), whose sum is σ = 114751980. Its totient is φ = 97821048.

The previous prime is 105972913. The next prime is 105973001. The reversal of 105972971 is 179279501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105972971 is a prime.

It is a super-2 number, since 2×105972971² = 22460541165133682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105972901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313361 + ... + 313698.

It is an arithmetic number, because the mean of its divisors is an integer number (19125330).

Almost surely, 2^105972971 is an apocalyptic number.

105972971 is a deficient number, since it is larger than the sum of its proper divisors (8779009).

105972971 is an equidigital number, since it uses as much as digits as its factorization.

105972971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627085 (or 627072 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 41.

The square root of 105972971 is about 10294.3174130197. The cubic root of 105972971 is about 473.2221198854. Note that the first 3 decimals are identical.

The spelling of 105972971 in words is "one hundred five million, nine hundred seventy-two thousand, nine hundred seventy-one".