106320358368 has 216 divisors, whose sum is σ = 352570556520. Its totient is φ = 30303060480.

The previous prime is 106320358357. The next prime is 106320358369. The reversal of 106320358368 is 863853023601.

106320358368 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 0 + 3 + 583 + 68 = 666.

It is a super-2 number, since 2×106320358368² (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 (106320358369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5903938 + ... + 5921918.

It is an arithmetic number, because the mean of its divisors is an integer number (1632271095).

Almost surely, 2^106320358368 is an apocalyptic number.

106320358368 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 106320358368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176285278260).

106320358368 is an abundant number, since it is smaller than the sum of its proper divisors (246250198152).

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

106320358368 is a wasteful number, since it uses less digits than its factorization.

106320358368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18430 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 106320358368 in words is "one hundred six billion, three hundred twenty million, three hundred fifty-eight thousand, three hundred sixty-eight".