106944583680 has 1152 divisors, whose sum is σ = 432721336320. Its totient is φ = 24182784000.

The previous prime is 106944583673. The next prime is 106944583693. The reversal of 106944583680 is 86385449601.

106944583680 is a `hidden beast` number, since 1 + 0 + 69 + 445 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106944583680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288488919 + ... + 1288489001.

It is an arithmetic number, because the mean of its divisors is an integer number (375626160).

Almost surely, 2^106944583680 is an apocalyptic number.

106944583680 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 106944583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216360668160).

106944583680 is an abundant number, since it is smaller than the sum of its proper divisors (325776752640).

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

106944583680 is a wasteful number, since it uses less digits than its factorization.

106944583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 106944583680 in words is "one hundred six billion, nine hundred forty-four million, five hundred eighty-three thousand, six hundred eighty".