106226081280 has 960 divisors, whose sum is σ = 422269848000. Its totient is φ = 24442306560.

The previous prime is 106226081263. The next prime is 106226081281. The reversal of 106226081280 is 82180622601.

106226081280 is a `hidden beast` number, since 1 + 0 + 6 + 22 + 608 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×106226081280³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226081281) 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, 712926646 + ... + 712926794.

It is an arithmetic number, because the mean of its divisors is an integer number (439864425).

Almost surely, 2^106226081280 is an apocalyptic number.

106226081280 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 106226081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211134924000).

106226081280 is an abundant number, since it is smaller than the sum of its proper divisors (316043766720).

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

106226081280 is a wasteful number, since it uses less digits than its factorization.

106226081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 106226081280 in words is "one hundred six billion, two hundred twenty-six million, eighty-one thousand, two hundred eighty".