105916986097776 has 720 divisors, whose sum is σ = 380536118796288. Its totient is φ = 26890743398400.

The previous prime is 105916986097757. The next prime is 105916986097777. The reversal of 105916986097776 is 677790689619501.

105916986097776 is a `hidden beast` number, since 10 + 591 + 6 + 9 + 8 + 6 + 0 + 9 + 7 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×105916986097776² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105916986097695 and 105916986097704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105916986097777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370114521 + ... + 370400583.

Almost surely, 2^{105916986097776} is an apocalyptic number.

105916986097776 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 105916986097776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190268059398144).

105916986097776 is an abundant number, since it is smaller than the sum of its proper divisors (274619132698512).

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

105916986097776 is a wasteful number, since it uses less digits than its factorization.

105916986097776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286190 (or 286164 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 81.

The spelling of 105916986097776 in words is "one hundred five trillion, nine hundred sixteen billion, nine hundred eighty-six million, ninety-seven thousand, seven hundred seventy-six".