106980481843200 has 2160 divisors, whose sum is σ = 455151308451840. Its totient is φ = 23511186800640.

The previous prime is 106980481843189. The next prime is 106980481843271. The reversal of 106980481843200 is 2348184089601.

It is a happy number.

106980481843200 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 80 + 481 + 84 + 3 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×106980481843200² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74343628081 + ... + 74343629519.

Almost surely, 2^{106980481843200} is an apocalyptic number.

106980481843200 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 106980481843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227575654225920).

106980481843200 is an abundant number, since it is smaller than the sum of its proper divisors (348170826608640).

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

106980481843200 is a wasteful number, since it uses less digits than its factorization.

106980481843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 106980481843200 in words is "one hundred six trillion, nine hundred eighty billion, four hundred eighty-one million, eight hundred forty-three thousand, two hundred".