105086361888 has 288 divisors, whose sum is σ = 330661094400. Its totient is φ = 31508725248.

The previous prime is 105086361857. The next prime is 105086361899. The reversal of 105086361888 is 888163680501.

105086361888 is a `hidden beast` number, since 10 + 5 + 0 + 8 + 6 + 3 + 618 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105086361888² (a number of 23 digits) contains 22 as substring.

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, 17490981 + ... + 17496987.

It is an arithmetic number, because the mean of its divisors is an integer number (1148128800).

Almost surely, 2^105086361888 is an apocalyptic number.

105086361888 is a gapful number since it is divisible by the number (18) 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 105086361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165330547200).

105086361888 is an abundant number, since it is smaller than the sum of its proper divisors (225574732512).

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

105086361888 is a wasteful number, since it uses less digits than its factorization.

105086361888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 105086361888 in words is "one hundred five billion, eighty-six million, three hundred sixty-one thousand, eight hundred eighty-eight".