105271040 has 144 divisors (see below), whose sum is σ = 298260480. Its totient is φ = 34836480.

The previous prime is 105271027. The next prime is 105271043. The reversal of 105271040 is 40172501.

It is a super-2 number, since 2×105271040² = 22163983725363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105271043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277571 + ... + 277949.

Almost surely, 2^105271040 is an apocalyptic number.

105271040 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 105271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130240).

105271040 is an abundant number, since it is smaller than the sum of its proper divisors (192989440).

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

105271040 is an equidigital number, since it uses as much as digits as its factorization.

105271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 105271040 is about 10260.1676399560. The cubic root of 105271040 is about 472.1749806079.

The spelling of 105271040 in words is "one hundred five million, two hundred seventy-one thousand, forty".