106824385600 has 63 divisors (see below), whose sum is σ = 262886926981. Its totient is φ = 42724524800.

The previous prime is 106824385597. The next prime is 106824385631. The reversal of 106824385600 is 6583428601.

The square root of 106824385600 is 326840.

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

106824385600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38456778816 + 68367606784 = 196104^2 + 261472^2 .

It is a super-2 number, since 2×106824385600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13069515 + ... + 13077685.

Almost surely, 2^106824385600 is an apocalyptic number.

106824385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106824385600 is the 326840-th square number.

It is an amenable number.

106824385600 is an abundant number, since it is smaller than the sum of its proper divisors (156062541381).

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

106824385600 is an frugal number, since it uses more digits than its factorization.

106824385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16364 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 106824385600 in words is "one hundred six billion, eight hundred twenty-four million, three hundred eighty-five thousand, six hundred".