106645801344 has 128 divisors (see below), whose sum is σ = 300105583200. Its totient is φ = 33439186944.

The previous prime is 106645801321. The next prime is 106645801369. The reversal of 106645801344 is 443108546601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106645801344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106645801296 and 106645801305.

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, 16688902 + ... + 16695290.

Almost surely, 2^106645801344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106645801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150052791600).

106645801344 is an abundant number, since it is smaller than the sum of its proper divisors (193459781856).

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

106645801344 is a wasteful number, since it uses less digits than its factorization.

106645801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 106645801344 in words is "one hundred six billion, six hundred forty-five million, eight hundred one thousand, three hundred forty-four".