106366645104 has 80 divisors (see below), whose sum is σ = 282554608800. Its totient is φ = 34454799360.

The previous prime is 106366645093. The next prime is 106366645117. The reversal of 106366645104 is 401546663601.

It is a super-2 number, since 2×106366645104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421622 + ... + 1494570.

It is an arithmetic number, because the mean of its divisors is an integer number (3531932610).

Almost surely, 2^106366645104 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 106366645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141277304400).

106366645104 is an abundant number, since it is smaller than the sum of its proper divisors (176187963696).

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

106366645104 is a wasteful number, since it uses less digits than its factorization.

106366645104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73818 (or 73812 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 106366645104 in words is "one hundred six billion, three hundred sixty-six million, six hundred forty-five thousand, one hundred four".