106442064960 has 448 divisors, whose sum is σ = 429958195200. Its totient is φ = 22117079040.

The previous prime is 106442064959. The next prime is 106442064973. The reversal of 106442064960 is 69460244601.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×106442064960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3607387 + ... + 3636773.

Almost surely, 2^106442064960 is an apocalyptic number.

106442064960 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 106442064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214979097600).

106442064960 is an abundant number, since it is smaller than the sum of its proper divisors (323516130240).

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

106442064960 is a wasteful number, since it uses less digits than its factorization.

106442064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29439 (or 29415 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

It can be divided in two parts, 1064 and 42064960, that added together give a palindrome (42066024).

The spelling of 106442064960 in words is "one hundred six billion, four hundred forty-two million, sixty-four thousand, nine hundred sixty".