106813327104 has 576 divisors, whose sum is σ = 359737459200. Its totient is φ = 30965760000.

The previous prime is 106813327073. The next prime is 106813327157. The reversal of 106813327104 is 401723318601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106813327104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425550979 + ... + 425551229.

It is an arithmetic number, because the mean of its divisors is an integer number (624544200).

Almost surely, 2^106813327104 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 106813327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179868729600).

106813327104 is an abundant number, since it is smaller than the sum of its proper divisors (252924132096).

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

106813327104 is a wasteful number, since it uses less digits than its factorization.

106813327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106813327104 in words is "one hundred six billion, eight hundred thirteen million, three hundred twenty-seven thousand, one hundred four".