106645685800 has 24 divisors (see below), whose sum is σ = 247951219950. Its totient is φ = 42658274240.

The previous prime is 106645685777. The next prime is 106645685813. The reversal of 106645685800 is 8586546601.

106645685800 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 3 ways, for example, as 52744634244 + 53901051556 = 229662^2 + 232166^2 .

It is a super-2 number, since 2×106645685800² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 266614015 + ... + 266614414.

Almost surely, 2^106645685800 is an apocalyptic number.

106645685800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106645685800 is an abundant number, since it is smaller than the sum of its proper divisors (141305534150).

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

106645685800 is a wasteful number, since it uses less digits than its factorization.

106645685800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533228445 (or 533228436 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 106645685800 in words is "one hundred six billion, six hundred forty-five million, six hundred eighty-five thousand, eight hundred".