105404582071776 has 144 divisors (see below), whose sum is σ = 299640764006640. Its totient is φ = 32428615864320.

The previous prime is 105404582071769. The next prime is 105404582071787. The reversal of 105404582071776 is 677170285404501.

It is a super-2 number, since 2×105404582071776² (a number of 29 digits) contains 22 as substring.

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, 149249220 + ... + 149953788.

It is an arithmetic number, because the mean of its divisors is an integer number (2080838638935).

Almost surely, 2^{105404582071776} is an apocalyptic number.

105404582071776 is a gapful number since it is divisible by the number (16) 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 105404582071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149820382003320).

105404582071776 is an abundant number, since it is smaller than the sum of its proper divisors (194236181934864).

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

105404582071776 is a wasteful number, since it uses less digits than its factorization.

105404582071776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713829 (or 713808 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 57.

The spelling of 105404582071776 in words is "one hundred five trillion, four hundred four billion, five hundred eighty-two million, seventy-one thousand, seven hundred seventy-six".