106005895426656 has 288 divisors, whose sum is σ = 321245004749760. Its totient is φ = 33088315392000.

The previous prime is 106005895426511. The next prime is 106005895426693. The reversal of 106005895426656 is 656624598500601.

106005895426656 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 89 + 542 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106005895426656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005895426593 and 106005895426602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58652976 + ... + 60433296.

It is an arithmetic number, because the mean of its divisors is an integer number (1115434044270).

Almost surely, 2^{106005895426656} is an apocalyptic number.

106005895426656 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 106005895426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160622502374880).

106005895426656 is an abundant number, since it is smaller than the sum of its proper divisors (215239109323104).

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

106005895426656 is a wasteful number, since it uses less digits than its factorization.

106005895426656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780550 (or 1780539 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 106005895426656 in words is "one hundred six trillion, five billion, eight hundred ninety-five million, four hundred twenty-six thousand, six hundred fifty-six".