106991539200 has 1782 divisors, whose sum is σ = 498335308926. Its totient is φ = 22574039040.

The previous prime is 106991539183. The next prime is 106991539229. The reversal of 106991539200 is 2935199601.

It is a happy number.

106991539200 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 91 + 539 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 329204736 + 106662334464 = 18144^2 + 326592^2 .

It is a super-2 number, since 2×106991539200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 161 ways as a sum of consecutive naturals, for example, 8230118394 + ... + 8230118406.

Almost surely, 2^106991539200 is an apocalyptic number.

106991539200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106991539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249167654463).

106991539200 is an abundant number, since it is smaller than the sum of its proper divisors (391343769726).

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

106991539200 is an frugal number, since it uses more digits than its factorization.

106991539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 106991539200 in words is "one hundred six billion, nine hundred ninety-one million, five hundred thirty-nine thousand, two hundred".