106531721540000 has 240 divisors, whose sum is σ = 274519127659392. Its totient is φ = 40604936064000.

The previous prime is 106531721539949. The next prime is 106531721540021. The reversal of 106531721540000 is 45127135601.

It is a happy number.

It is a super-2 number, since 2×106531721540000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120539714 + ... + 121420286.

Almost surely, 2^{106531721540000} is an apocalyptic number.

106531721540000 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 106531721540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137259563829696).

106531721540000 is an abundant number, since it is smaller than the sum of its proper divisors (167987406119392).

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

106531721540000 is an equidigital number, since it uses as much as digits as its factorization.

106531721540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880889 (or 880866 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 106531721540000 its reverse (45127135601), we get a palindrome (106576848675601).

The spelling of 106531721540000 in words is "one hundred six trillion, five hundred thirty-one billion, seven hundred twenty-one million, five hundred forty thousand".