105915840 has 112 divisors (see below), whose sum is σ = 347228160. Its totient is φ = 27325440.

The previous prime is 105915839. The next prime is 105915847. The reversal of 105915840 is 48519501.

It is a super-2 number, since 2×105915840² = 22436330325811200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105915847) 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, 27981 + ... + 31539.

Almost surely, 2^105915840 is an apocalyptic number.

105915840 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 105915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173614080).

105915840 is an abundant number, since it is smaller than the sum of its proper divisors (241312320).

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

105915840 is a wasteful number, since it uses less digits than its factorization.

105915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105915840 is about 10291.5421584911. The cubic root of 105915840 is about 473.1370651382.

The spelling of 105915840 in words is "one hundred five million, nine hundred fifteen thousand, eight hundred forty".