105693232320 has 560 divisors, whose sum is σ = 428730448608. Its totient is φ = 24485068800.

The previous prime is 105693232297. The next prime is 105693232327. The reversal of 105693232320 is 23232396501.

105693232320 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 9 + 323 + 2 + 320 = 666.

It is a super-2 number, since 2×105693232320² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105693232327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5719095 + ... + 5737545.

Almost surely, 2^105693232320 is an apocalyptic number.

105693232320 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 105693232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214365224304).

105693232320 is an abundant number, since it is smaller than the sum of its proper divisors (323037216288).

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

105693232320 is a wasteful number, since it uses less digits than its factorization.

105693232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 105693232320 in words is "one hundred five billion, six hundred ninety-three million, two hundred thirty-two thousand, three hundred twenty".