106108633792 has 112 divisors (see below), whose sum is σ = 242485420032. Its totient is φ = 45127296000.

The previous prime is 106108633789. The next prime is 106108633823. The reversal of 106108633792 is 297336801601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106108633792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58204593 + ... + 58206415.

Almost surely, 2^106108633792 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 106108633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242710016).

106108633792 is an abundant number, since it is smaller than the sum of its proper divisors (136376786240).

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

106108633792 is a wasteful number, since it uses less digits than its factorization.

106108633792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 106108633792 in words is "one hundred six billion, one hundred eight million, six hundred thirty-three thousand, seven hundred ninety-two".