106901833338 has 24 divisors (see below), whose sum is σ = 231636895776. Its totient is φ = 35631443400.

The previous prime is 106901833307. The next prime is 106901833351. The reversal of 106901833338 is 833338109601.

106901833338 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106901833338² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106901833293 and 106901833302.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 64843 + ... + 466913.

It is an arithmetic number, because the mean of its divisors is an integer number (9651537324).

Almost surely, 2^106901833338 is an apocalyptic number.

106901833338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106901833338 is an abundant number, since it is smaller than the sum of its proper divisors (124735062438).

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

106901833338 is a wasteful number, since it uses less digits than its factorization.

106901833338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416850 (or 416847 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 106901833338 in words is "one hundred six billion, nine hundred one million, eight hundred thirty-three thousand, three hundred thirty-eight".