106163617248 has 384 divisors, whose sum is σ = 342934300800. Its totient is φ = 31750963200.

The previous prime is 106163617243. The next prime is 106163617289. The reversal of 106163617248 is 842716361601.

106163617248 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 3 + 617 + 24 + 8 = 666.

It is a super-2 number, since 2×106163617248² (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 (106163617243) 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, 60977658 + ... + 60979398.

It is an arithmetic number, because the mean of its divisors is an integer number (893058075).

Almost surely, 2^106163617248 is an apocalyptic number.

106163617248 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 106163617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171467150400).

106163617248 is an abundant number, since it is smaller than the sum of its proper divisors (236770683552).

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

106163617248 is a wasteful number, since it uses less digits than its factorization.

106163617248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

Adding to 106163617248 its reverse (842716361601), we get a palindrome (948879978849).

The spelling of 106163617248 in words is "one hundred six billion, one hundred sixty-three million, six hundred seventeen thousand, two hundred forty-eight".