105215840 has 96 divisors (see below), whose sum is σ = 261255456. Its totient is φ = 39997440.

The previous prime is 105215837. The next prime is 105215867. The reversal of 105215840 is 48512501.

It is a super-2 number, since 2×105215840² = 22140745973811200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 281894 + ... + 282266.

It is an arithmetic number, because the mean of its divisors is an integer number (2721411).

Almost surely, 2^105215840 is an apocalyptic number.

105215840 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 105215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130627728).

105215840 is an abundant number, since it is smaller than the sum of its proper divisors (156039616).

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

105215840 is a wasteful number, since it uses less digits than its factorization.

105215840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 105215840 is about 10257.4772727021. The cubic root of 105215840 is about 472.0924361718.

It can be divided in two parts, 10521 and 5840, that added together give a palindrome (16361).

The spelling of 105215840 in words is "one hundred five million, two hundred fifteen thousand, eight hundred forty".