105577372021168 has 80 divisors (see below), whose sum is σ = 219355821891360. Its totient is φ = 49052178710528.

The previous prime is 105577372021159. The next prime is 105577372021217. The reversal of 105577372021168 is 861120273775501.

It is a super-2 number, since 2×105577372021168² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216323 + ... + 14581981.

It is an arithmetic number, because the mean of its divisors is an integer number (2741947773642).

Almost surely, 2^{105577372021168} 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 105577372021168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109677910945680).

105577372021168 is an abundant number, since it is smaller than the sum of its proper divisors (113778449870192).

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

105577372021168 is a wasteful number, since it uses less digits than its factorization.

105577372021168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13366054 (or 13366048 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 55.

The spelling of 105577372021168 in words is "one hundred five trillion, five hundred seventy-seven billion, three hundred seventy-two million, twenty-one thousand, one hundred sixty-eight".