105845186880 has 336 divisors, whose sum is σ = 370355701248. Its totient is φ = 27740160000.

The previous prime is 105845186857. The next prime is 105845186933. The reversal of 105845186880 is 88681548501.

105845186880 is a `hidden beast` number, since 1 + 0 + 58 + 451 + 8 + 68 + 80 = 666.

It is a super-2 number, since 2×105845186880² (a number of 23 digits) contains 22 as substring.

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, 88130280 + ... + 88131480.

Almost surely, 2^105845186880 is an apocalyptic number.

105845186880 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 105845186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177850624).

105845186880 is an abundant number, since it is smaller than the sum of its proper divisors (264510514368).

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

105845186880 is a wasteful number, since it uses less digits than its factorization.

105845186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 105845186880 in words is "one hundred five billion, eight hundred forty-five million, one hundred eighty-six thousand, eight hundred eighty".