106982581248 has 704 divisors, whose sum is σ = 350640291840. Its totient is φ = 32517365760.

The previous prime is 106982581241. The next prime is 106982581261. The reversal of 106982581248 is 842185289601.

106982581248 is a `hidden beast` number, since 10 + 6 + 9 + 8 + 2 + 581 + 2 + 48 = 666.

It is a super-3 number, since 3×106982581248³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106982581194 and 106982581203.

It is not an unprimeable number, because it can be changed into a prime (106982581241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1596754911 + ... + 1596754977.

Almost surely, 2^106982581248 is an apocalyptic number.

106982581248 is a gapful number since it is divisible by the number (18) 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 106982581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175320145920).

106982581248 is an abundant number, since it is smaller than the sum of its proper divisors (243657710592).

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

106982581248 is an frugal number, since it uses more digits than its factorization.

106982581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 106982581248 in words is "one hundred six billion, nine hundred eighty-two million, five hundred eighty-one thousand, two hundred forty-eight".