106091811336 has 128 divisors (see below), whose sum is σ = 322659072000. Its totient is φ = 28393846272.

The previous prime is 106091811229. The next prime is 106091811337. The reversal of 106091811336 is 633118190601.

It is a happy number.

It is a super-2 number, since 2×106091811336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106091811294 and 106091811303.

It is not an unprimeable number, because it can be changed into a prime (106091811337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97365 + ... + 470811.

It is an arithmetic number, because the mean of its divisors is an integer number (2520774000).

Almost surely, 2^106091811336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106091811336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161329536000).

106091811336 is an abundant number, since it is smaller than the sum of its proper divisors (216567260664).

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

106091811336 is a wasteful number, since it uses less digits than its factorization.

106091811336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373571 (or 373567 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 106091811336 in words is "one hundred six billion, ninety-one million, eight hundred eleven thousand, three hundred thirty-six".