106328166400 has 117 divisors (see below), whose sum is σ = 263920662901. Its totient is φ = 42489528320.

The previous prime is 106328166379. The next prime is 106328166533. The reversal of 106328166400 is 4661823601.

It is a happy number.

The square root of 106328166400 is 326080.

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

It can be written as a sum of positive squares in only one way, i.e., 38278139904 + 68050026496 = 195648^2 + 260864^2 .

It is a super-2 number, since 2×106328166400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106328166400.

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 8 ways as a sum of consecutive naturals, for example, 104345091 + ... + 104346109.

Almost surely, 2^106328166400 is an apocalyptic number.

106328166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106328166400 is the 326080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106328166400

106328166400 is an abundant number, since it is smaller than the sum of its proper divisors (157592496501).

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

106328166400 is an frugal number, since it uses more digits than its factorization.

106328166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 106328166400 in words is "one hundred six billion, three hundred twenty-eight million, one hundred sixty-six thousand, four hundred".