106980513553920 has 320 divisors, whose sum is σ = 352371833884224. Its totient is φ = 27676063825920.

The previous prime is 106980513553889. The next prime is 106980513553961. The reversal of 106980513553920 is 29355315089601.

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

It is a super-2 number, since 2×106980513553920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32634954 + ... + 35763126.

Almost surely, 2^{106980513553920} is an apocalyptic number.

106980513553920 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 106980513553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176185916942112).

106980513553920 is an abundant number, since it is smaller than the sum of its proper divisors (245391320330304).

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

106980513553920 is an equidigital number, since it uses as much as digits as its factorization.

106980513553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128333 (or 3128317 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 106980513553920 in words is "one hundred six trillion, nine hundred eighty billion, five hundred thirteen million, five hundred fifty-three thousand, nine hundred twenty".