10105371 has 16 divisors (see below), whose sum is σ = 15042720. Its totient is φ = 6704640.

The previous prime is 10105367. The next prime is 10105391. The reversal of 10105371 is 17350101.

It is a happy number.

It is not a de Polignac number, because 10105371 - 2² = 10105367 is a prime.

It is a super-4 number, since 4×10105371⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5731 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (940170).

Almost surely, 2^10105371 is an apocalyptic number.

10105371 is a deficient number, since it is larger than the sum of its proper divisors (4937349).

10105371 is a wasteful number, since it uses less digits than its factorization.

10105371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10105371 is about 3178.8946192033. The cubic root of 10105371 is about 216.1975430471.

Adding to 10105371 its reverse (17350101), we get a palindrome (27455472).

It can be divided in two parts, 101053 and 71, that added together give a square (101124 = 318²).

The spelling of 10105371 in words is "ten million, one hundred five thousand, three hundred seventy-one".