105180965077888 has 192 divisors, whose sum is σ = 252858592620000. Its totient is φ = 43401896595456.

The previous prime is 105180965077879. The next prime is 105180965077907. The reversal of 105180965077888 is 888770569081501.

It is a super-2 number, since 2×105180965077888² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105180965077888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64492398 + ... + 66103186.

Almost surely, 2^{105180965077888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105180965077888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126429296310000).

105180965077888 is an abundant number, since it is smaller than the sum of its proper divisors (147677627542112).

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

105180965077888 is a wasteful number, since it uses less digits than its factorization.

105180965077888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611205 (or 1611186 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 73.

The spelling of 105180965077888 in words is "one hundred five trillion, one hundred eighty billion, nine hundred sixty-five million, seventy-seven thousand, eight hundred eighty-eight".