105110691840 has 1512 divisors, whose sum is σ = 483358396248. Its totient is φ = 20891566080.

The previous prime is 105110691839. The next prime is 105110691913. The reversal of 105110691840 is 48196011501.

It is a happy number.

105110691840 is a `hidden beast` number, since 1 + 0 + 511 + 0 + 69 + 1 + 84 + 0 = 666.

It is a super-2 number, since 2×105110691840² (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 junction number, because it is equal to n+sod(n) for n = 105110691795 and 105110691804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4570030069 + ... + 4570030091.

It is an arithmetic number, because the mean of its divisors is an integer number (319681479).

Almost surely, 2^105110691840 is an apocalyptic number.

105110691840 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 105110691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241679198124).

105110691840 is an abundant number, since it is smaller than the sum of its proper divisors (378247704408).

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

105110691840 is a wasteful number, since it uses less digits than its factorization.

105110691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 105110691840 in words is "one hundred five billion, one hundred ten million, six hundred ninety-one thousand, eight hundred forty".