106318611648 has 168 divisors, whose sum is σ = 306996449760. Its totient is φ = 35178393600.

The previous prime is 106318611647. The next prime is 106318611649. The reversal of 106318611648 is 846116813601.

106318611648 is a `hidden beast` number, since 1 + 0 + 631 + 8 + 6 + 1 + 1 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106318611647) and next prime (106318611649).

It is a super-2 number, since 2×106318611648² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106318611647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68195893 + ... + 68197451.

It is an arithmetic number, because the mean of its divisors is an integer number (1827359820).

Almost surely, 2^106318611648 is an apocalyptic number.

106318611648 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 106318611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153498224880).

106318611648 is an abundant number, since it is smaller than the sum of its proper divisors (200677838112).

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

106318611648 is a wasteful number, since it uses less digits than its factorization.

106318611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 106318611648 in words is "one hundred six billion, three hundred eighteen million, six hundred eleven thousand, six hundred forty-eight".