106655970960 has 480 divisors, whose sum is σ = 447825051648. Its totient is φ = 22100014080.

The previous prime is 106655970959. The next prime is 106655970979. The reversal of 106655970960 is 69079556601.

106655970960 is a `hidden beast` number, since 10 + 6 + 6 + 559 + 70 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×106655970960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106655970897 and 106655970906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21231009 + ... + 21236031.

Almost surely, 2^106655970960 is an apocalyptic number.

106655970960 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 106655970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223912525824).

106655970960 is an abundant number, since it is smaller than the sum of its proper divisors (341169080688).

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

106655970960 is a wasteful number, since it uses less digits than its factorization.

106655970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 106655970960 in words is "one hundred six billion, six hundred fifty-five million, nine hundred seventy thousand, nine hundred sixty".