105800457312 has 192 divisors, whose sum is σ = 336931660800. Its totient is φ = 32032765440.

The previous prime is 105800457289. The next prime is 105800457331. The reversal of 105800457312 is 213754008501.

105800457312 is a `hidden beast` number, since 1 + 0 + 5 + 80 + 0 + 4 + 573 + 1 + 2 = 666.

It is a super-2 number, since 2×105800457312² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12607614 + ... + 12616002.

It is an arithmetic number, because the mean of its divisors is an integer number (1754852400).

Almost surely, 2^105800457312 is an apocalyptic number.

105800457312 is a gapful number since it is divisible by the number (12) 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 105800457312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168465830400).

105800457312 is an abundant number, since it is smaller than the sum of its proper divisors (231131203488).

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

105800457312 is a wasteful number, since it uses less digits than its factorization.

105800457312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 105800457312 in words is "one hundred five billion, eight hundred million, four hundred fifty-seven thousand, three hundred twelve".