106322635888 has 120 divisors (see below), whose sum is σ = 247603914240. Its totient is φ = 44053994880.

The previous prime is 106322635873. The next prime is 106322635889. The reversal of 106322635888 is 888536223601.

It is a super-2 number, since 2×106322635888² (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 (106322635889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41874523 + ... + 41877061.

It is an arithmetic number, because the mean of its divisors is an integer number (2063365952).

Almost surely, 2^106322635888 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 106322635888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801957120).

106322635888 is an abundant number, since it is smaller than the sum of its proper divisors (141281278352).

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

106322635888 is a wasteful number, since it uses less digits than its factorization.

106322635888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 106322635888 in words is "one hundred six billion, three hundred twenty-two million, six hundred thirty-five thousand, eight hundred eighty-eight".