106559311453056 has 2304 divisors, whose sum is σ = 413740376824320. Its totient is φ = 26504390246400.

The previous prime is 106559311453039. The next prime is 106559311453123. The reversal of 106559311453056 is 650354113955601.

106559311453056 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 93 + 1 + 14 + 530 + 5 + 6 = 666.

It is a super-2 number, since 2×106559311453056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106559311452993 and 106559311453011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 777805193020 + ... + 777805193156.

It is an arithmetic number, because the mean of its divisors is an integer number (179574816330).

Almost surely, 2^{106559311453056} is an apocalyptic number.

106559311453056 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 106559311453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206870188412160).

106559311453056 is an abundant number, since it is smaller than the sum of its proper divisors (307181065371264).

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

106559311453056 is an equidigital number, since it uses as much as digits as its factorization.

106559311453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 106559311453056 in words is "one hundred six trillion, five hundred fifty-nine billion, three hundred eleven million, four hundred fifty-three thousand, fifty-six".