105991814880 has 576 divisors, whose sum is σ = 438835138560. Its totient is φ = 22741696512.

The previous prime is 105991814833. The next prime is 105991814881. The reversal of 105991814880 is 88418199501.

105991814880 is a `hidden beast` number, since 1 + 0 + 599 + 1 + 8 + 1 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×105991814880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105991814881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104015011 + ... + 104016029.

It is an arithmetic number, because the mean of its divisors is an integer number (761866560).

Almost surely, 2^105991814880 is an apocalyptic number.

105991814880 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 105991814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219417569280).

105991814880 is an abundant number, since it is smaller than the sum of its proper divisors (332843323680).

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

105991814880 is a wasteful number, since it uses less digits than its factorization.

105991814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 105991814880 in words is "one hundred five billion, nine hundred ninety-one million, eight hundred fourteen thousand, eight hundred eighty".