106516480000 has 320 divisors, whose sum is σ = 304640233920. Its totient is φ = 36470784000.

The previous prime is 106516479997. The next prime is 106516480009. The reversal of 106516480000 is 84615601.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×106516480000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106516480009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143359629 + ... + 143360371.

It is an arithmetic number, because the mean of its divisors is an integer number (952000731).

Almost surely, 2^106516480000 is an apocalyptic number.

106516480000 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 106516480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152320116960).

106516480000 is an abundant number, since it is smaller than the sum of its proper divisors (198123753920).

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

106516480000 is an frugal number, since it uses more digits than its factorization.

106516480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 106516480000 in words is "one hundred six billion, five hundred sixteen million, four hundred eighty thousand".