105551271 has 24 divisors (see below), whose sum is σ = 180254880. Its totient is φ = 58234176.

The previous prime is 105551233. The next prime is 105551287. The reversal of 105551271 is 172155501.

105551271 is a `hidden beast` number, since 105 + 551 + 2 + 7 + 1 = 666.

It is not a de Polignac number, because 105551271 - 2¹³ = 105543079 is a prime.

It is a super-2 number, since 2×105551271² = 22282141619430882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551231) 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, 27060 + ... + 30713.

It is an arithmetic number, because the mean of its divisors is an integer number (7510620).

Almost surely, 2^105551271 is an apocalyptic number.

105551271 is a deficient number, since it is larger than the sum of its proper divisors (74703609).

105551271 is a wasteful number, since it uses less digits than its factorization.

105551271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57815 (or 57812 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 105551271 is about 10273.8148221583. The cubic root of 105551271 is about 472.5935852254.

It can be divided in two parts, 1055 and 51271, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 105551271 in words is "one hundred five million, five hundred fifty-one thousand, two hundred seventy-one".