106226003440 has 80 divisors (see below), whose sum is σ = 249059059200. Its totient is φ = 42133289216.

The previous prime is 106226003431. The next prime is 106226003503. The reversal of 106226003440 is 44300622601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106226003440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106226003399 and 106226003408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5130549 + ... + 5151211.

It is an arithmetic number, because the mean of its divisors is an integer number (3113238240).

Almost surely, 2^106226003440 is an apocalyptic number.

106226003440 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 106226003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124529529600).

106226003440 is an abundant number, since it is smaller than the sum of its proper divisors (142833055760).

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

106226003440 is a wasteful number, since it uses less digits than its factorization.

106226003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 106226003440 in words is "one hundred six billion, two hundred twenty-six million, three thousand, four hundred forty".