105271000 has 96 divisors (see below), whose sum is σ = 258804000. Its totient is φ = 40075200.

The previous prime is 105270989. The next prime is 105271007. The reversal of 105271000 is 172501.

It is a super-2 number, since 2×105271000² = 22163966882000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105271007) 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 23 ways as a sum of consecutive naturals, for example, 528901 + ... + 529099.

It is an arithmetic number, because the mean of its divisors is an integer number (2695875).

Almost surely, 2^105271000 is an apocalyptic number.

105271000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105271000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129402000).

105271000 is an abundant number, since it is smaller than the sum of its proper divisors (153533000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105271000 is a wasteful number, since it uses less digits than its factorization.

105271000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105271000 is about 10260.1656906699. The cubic root of 105271000 is about 472.1749208035.

The spelling of 105271000 in words is "one hundred five million, two hundred seventy-one thousand".