106055271 has 32 divisors (see below), whose sum is σ = 182528000. Its totient is φ = 59603040.

The previous prime is 106055263. The next prime is 106055311. The reversal of 106055271 is 172550601.

106055271 is a `hidden beast` number, since 1 + 0 + 605 + 52 + 7 + 1 = 666.

It is not a de Polignac number, because 106055271 - 2³ = 106055263 is a prime.

It is a super-2 number, since 2×106055271² = 22495441013766882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6930 + ... + 16128.

It is an arithmetic number, because the mean of its divisors is an integer number (5704000).

Almost surely, 2^106055271 is an apocalyptic number.

106055271 is a deficient number, since it is larger than the sum of its proper divisors (76472729).

106055271 is an equidigital number, since it uses as much as digits as its factorization.

106055271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 106055271 is about 10298.3139882216. The cubic root of 106055271 is about 473.3445916893.

It can be divided in two parts, 10605 and 5271, that added together give a square (15876 = 126²).

The spelling of 106055271 in words is "one hundred six million, fifty-five thousand, two hundred seventy-one".