105881946370128 has 200 divisors, whose sum is σ = 309784009846080. Its totient is φ = 34910763816960.

The previous prime is 105881946370117. The next prime is 105881946370163. The reversal of 105881946370128 is 821073649188501.

105881946370128 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 81 + 9 + 463 + 70 + 1 + 28 = 666.

It is a super-2 number, since 2×105881946370128² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 227431893 + ... + 227896971.

It is a 2-persistent number, because it is pandigital, and so is 2⋅105881946370128 = 211763892740256, but 3⋅105881946370128 = 317645839110384 is not.

Almost surely, 2^{105881946370128} is an apocalyptic number.

105881946370128 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 105881946370128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154892004923040).

105881946370128 is an abundant number, since it is smaller than the sum of its proper divisors (203902063475952).

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

105881946370128 is a wasteful number, since it uses less digits than its factorization.

105881946370128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467007 (or 466992 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 105881946370128 in words is "one hundred five trillion, eight hundred eighty-one billion, nine hundred forty-six million, three hundred seventy thousand, one hundred twenty-eight".