105001071 has 24 divisors (see below), whose sum is σ = 163746864. Its totient is φ = 59673600.

The previous prime is 105001051. The next prime is 105001073. The reversal of 105001071 is 170100501.

It is not a de Polignac number, because 105001071 - 2⁶ = 105001007 is a prime.

It is a super-2 number, since 2×105001071² = 22050449822294082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26521 + ... + 30221.

It is an arithmetic number, because the mean of its divisors is an integer number (6822786).

Almost surely, 2^105001071 is an apocalyptic number.

105001071 is a deficient number, since it is larger than the sum of its proper divisors (58745793).

105001071 is a wasteful number, since it uses less digits than its factorization.

105001071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 105001071 is about 10247.0030252752. The cubic root of 105001071 is about 471.7710020422.

Adding to 105001071 its reverse (170100501), we get a palindrome (275101572).

The spelling of 105001071 in words is "one hundred five million, one thousand, seventy-one".