105659331840 has 216 divisors, whose sum is σ = 365902817280. Its totient is φ = 28150198272.

The previous prime is 105659331779. The next prime is 105659331853. The reversal of 105659331840 is 48133956501.

105659331840 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 593 + 3 + 18 + 40 = 666.

It is a super-2 number, since 2×105659331840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15007041 + ... + 15014079.

Almost surely, 2^105659331840 is an apocalyptic number.

105659331840 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 105659331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182951408640).

105659331840 is an abundant number, since it is smaller than the sum of its proper divisors (260243485440).

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

105659331840 is a wasteful number, since it uses less digits than its factorization.

105659331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 105659331840 in words is "one hundred five billion, six hundred fifty-nine million, three hundred thirty-one thousand, eight hundred forty".