106039327338 has 80 divisors (see below), whose sum is σ = 272096088000. Its totient is φ = 30236073984.

The previous prime is 106039327333. The next prime is 106039327343. The reversal of 106039327338 is 833723930601.

106039327338 is a `hidden beast` number, since 1 + 0 + 603 + 9 + 3 + 2 + 7 + 3 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (106039327333) and next prime (106039327343).

It is a super-2 number, since 2×106039327338² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106039327293 and 106039327302.

It is not an unprimeable number, because it can be changed into a prime (106039327333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472170 + ... + 659562.

It is an arithmetic number, because the mean of its divisors is an integer number (3401201100).

Almost surely, 2^106039327338 is an apocalyptic number.

106039327338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106039327338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136048044000).

106039327338 is an abundant number, since it is smaller than the sum of its proper divisors (166056760662).

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

106039327338 is a wasteful number, since it uses less digits than its factorization.

106039327338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187913 (or 187904 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 106039327338 in words is "one hundred six billion, thirty-nine million, three hundred twenty-seven thousand, three hundred thirty-eight".