106044624320 has 112 divisors (see below), whose sum is σ = 263637979200. Its totient is φ = 40552022016.

The previous prime is 106044624317. The next prime is 106044624349. The reversal of 106044624320 is 23426440601.

It is a super-2 number, since 2×106044624320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24381506 + ... + 24385854.

Almost surely, 2^106044624320 is an apocalyptic number.

106044624320 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 106044624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131818989600).

106044624320 is an abundant number, since it is smaller than the sum of its proper divisors (157593354880).

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

106044624320 is a wasteful number, since it uses less digits than its factorization.

106044624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 106044624320 in words is "one hundred six billion, forty-four million, six hundred twenty-four thousand, three hundred twenty".