105971031 has 8 divisors (see below), whose sum is σ = 156994160. Its totient is φ = 70647336.

The previous prime is 105971023. The next prime is 105971083. The reversal of 105971031 is 130179501.

It is a happy number.

It is not a de Polignac number, because 105971031 - 2³ = 105971023 is a prime.

It is a super-2 number, since 2×105971031² = 22459718822405922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3924853 = 105971031 / (1 + 0 + 5 + 9 + 7 + 1 + 0 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105970986 and 105971004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105971231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962400 + ... + 1962453.

It is an arithmetic number, because the mean of its divisors is an integer number (19624270).

Almost surely, 2^105971031 is an apocalyptic number.

105971031 is a deficient number, since it is larger than the sum of its proper divisors (51023129).

105971031 is an equidigital number, since it uses as much as digits as its factorization.

105971031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924862 (or 3924856 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 105971031 is about 10294.2231858455. The cubic root of 105971031 is about 473.2192321788.

It can be divided in two parts, 10597 and 1031, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105971031 in words is "one hundred five million, nine hundred seventy-one thousand, thirty-one".