106944696576 has 189 divisors, whose sum is σ = 320484407061. Its totient is φ = 35601140736.

The previous prime is 106944696571. The next prime is 106944696583. The reversal of 106944696576 is 675696449601.

The square root of 106944696576 is 327024.

It is a perfect power (a square), and thus also a powerful number.

106944696576 is a `hidden beast` number, since 1 + 0 + 69 + 446 + 9 + 65 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66069561600 + 40875134976 = 257040^2 + 202176^2 .

It is a super-2 number, since 2×106944696576² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106944696571) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 141273990 + ... + 141274746.

Almost surely, 2^106944696576 is an apocalyptic number.

106944696576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106944696576 is the 327024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106944696576

106944696576 is an abundant number, since it is smaller than the sum of its proper divisors (213539710485).

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

106944696576 is an frugal number, since it uses more digits than its factorization.

106944696576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 106944696576 in words is "one hundred six billion, nine hundred forty-four million, six hundred ninety-six thousand, five hundred seventy-six".