105271440 has 40 divisors (see below), whose sum is σ = 326342208. Its totient is φ = 28072320.

The previous prime is 105271379. The next prime is 105271499. The reversal of 105271440 is 44172501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105271440² = 22164152159347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105271440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219076 + ... + 219555.

Almost surely, 2^105271440 is an apocalyptic number.

105271440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105271440 is an abundant number, since it is smaller than the sum of its proper divisors (221070768).

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

105271440 is a wasteful number, since it uses less digits than its factorization.

105271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438647 (or 438641 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 105271440 is about 10260.1871327964. The cubic root of 105271440 is about 472.1755786507.

The spelling of 105271440 in words is "one hundred five million, two hundred seventy-one thousand, four hundred forty".