105372971 has 12 divisors (see below), whose sum is σ = 116198376. Its totient is φ = 95483520.

The previous prime is 105372961. The next prime is 105373001. The reversal of 105372971 is 179273501.

It is a happy number.

It is not a de Polignac number, because 105372971 - 2⁶ = 105372907 is a prime.

It is a super-2 number, since 2×105372971² = 22206926034733682, 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 (105372901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41480 + ... + 43946.

It is an arithmetic number, because the mean of its divisors is an integer number (9683198).

Almost surely, 2^105372971 is an apocalyptic number.

105372971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105372971 is a deficient number, since it is larger than the sum of its proper divisors (10825405).

105372971 is a wasteful number, since it uses less digits than its factorization.

105372971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 105372971 is about 10265.1337546084. The cubic root of 105372971 is about 472.3273293837.

The spelling of 105372971 in words is "one hundred five million, three hundred seventy-two thousand, nine hundred seventy-one".