105855840 has 288 divisors, whose sum is σ = 392726880. Its totient is φ = 25878528.

The previous prime is 105855833. The next prime is 105855857. The reversal of 105855840 is 48558501.

105855840 is a `hidden beast` number, since 10 + 58 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105855840² = 22410917724211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105855795 and 105855804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450044 + ... + 1450116.

It is an arithmetic number, because the mean of its divisors is an integer number (1363635).

Almost surely, 2^105855840 is an apocalyptic number.

105855840 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 105855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196363440).

105855840 is an abundant number, since it is smaller than the sum of its proper divisors (286871040).

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

105855840 is a wasteful number, since it uses less digits than its factorization.

105855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 105855840 is about 10288.6267305214. The cubic root of 105855840 is about 473.0477061838.

The spelling of 105855840 in words is "one hundred five million, eight hundred fifty-five thousand, eight hundred forty".