106482613248 has 396 divisors, whose sum is σ = 346903763544. Its totient is φ = 31198003200.

The previous prime is 106482613241. The next prime is 106482613253. The reversal of 106482613248 is 842316284601.

106482613248 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 2 + 613 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×106482613248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106482613241) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 97421790 + ... + 97422882.

Almost surely, 2^106482613248 is an apocalyptic number.

106482613248 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 106482613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173451881772).

106482613248 is an abundant number, since it is smaller than the sum of its proper divisors (240421150296).

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

106482613248 is a wasteful number, since it uses less digits than its factorization.

106482613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 106482613248 its reverse (842316284601), we get a palindrome (948798897849).

The spelling of 106482613248 in words is "one hundred six billion, four hundred eighty-two million, six hundred thirteen thousand, two hundred forty-eight".