106661598000 has 80 divisors (see below), whose sum is σ = 343877011296. Its totient is φ = 28443091200.

The previous prime is 106661597953. The next prime is 106661598053. The reversal of 106661598000 is 895166601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106661598000² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8882467 + ... + 8894466.

Almost surely, 2^106661598000 is an apocalyptic number.

106661598000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106661598000 is an abundant number, since it is smaller than the sum of its proper divisors (237215413296).

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

106661598000 is a wasteful number, since it uses less digits than its factorization.

106661598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17776959 (or 17776943 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 106661598000 in words is "one hundred six billion, six hundred sixty-one million, five hundred ninety-eight thousand".