105040872 has 48 divisors (see below), whose sum is σ = 285461280. Its totient is φ = 34893600.

The previous prime is 105040861. The next prime is 105040883. The reversal of 105040872 is 278040501.

It is an interprime number because it is at equal distance from previous prime (105040861) and next prime (105040883).

It is a super-2 number, since 2×105040872² = 22067169581040768, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20047 + ... + 24737.

It is an arithmetic number, because the mean of its divisors is an integer number (5947110).

Almost surely, 2^105040872 is an apocalyptic number.

105040872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105040872 is an abundant number, since it is smaller than the sum of its proper divisors (180420408).

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

105040872 is a wasteful number, since it uses less digits than its factorization.

105040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105040872 is about 10248.9449213078. The cubic root of 105040872 is about 471.8306032935.

The spelling of 105040872 in words is "one hundred five million, forty thousand, eight hundred seventy-two".