105928666560 has 672 divisors, whose sum is σ = 393019361280. Its totient is φ = 26127360000.

The previous prime is 105928666559. The next prime is 105928666567. The reversal of 105928666560 is 65666829501.

It is a super-2 number, since 2×105928666560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105928666497 and 105928666506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105928666567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422026435 + ... + 422026685.

It is an arithmetic number, because the mean of its divisors is an integer number (584850240).

Almost surely, 2^105928666560 is an apocalyptic number.

105928666560 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 105928666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196509680640).

105928666560 is an abundant number, since it is smaller than the sum of its proper divisors (287090694720).

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

105928666560 is a wasteful number, since it uses less digits than its factorization.

105928666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 105928666560 in words is "one hundred five billion, nine hundred twenty-eight million, six hundred sixty-six thousand, five hundred sixty".