105628271 has 12 divisors (see below), whose sum is σ = 124891560. Its totient is φ = 89051760.

The previous prime is 105628267. The next prime is 105628279. The reversal of 105628271 is 172826501.

It is not a de Polignac number, because 105628271 - 2² = 105628267 is a prime.

It is a super-2 number, since 2×105628271² = 22314663268898882, 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 (105628279) 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, 14681 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (10407630).

Almost surely, 2^105628271 is an apocalyptic number.

105628271 is a deficient number, since it is larger than the sum of its proper divisors (19263289).

105628271 is an equidigital number, since it uses as much as digits as its factorization.

105628271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35414 (or 35407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105628271 is about 10277.5615298572. The cubic root of 105628271 is about 472.7084768179.

The spelling of 105628271 in words is "one hundred five million, six hundred twenty-eight thousand, two hundred seventy-one".