106816728348 has 192 divisors, whose sum is σ = 311120409600. Its totient is φ = 31407886080.

The previous prime is 106816728341. The next prime is 106816728377. The reversal of 106816728348 is 843827618601.

It is a super-2 number, since 2×106816728348² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106816728294 and 106816728303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106816728341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17095761 + ... + 17102007.

It is an arithmetic number, because the mean of its divisors is an integer number (1620418800).

Almost surely, 2^106816728348 is an apocalyptic number.

106816728348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106816728348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155560204800).

106816728348 is an abundant number, since it is smaller than the sum of its proper divisors (204303681252).

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

106816728348 is a wasteful number, since it uses less digits than its factorization.

106816728348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 106816728348 in words is "one hundred six billion, eight hundred sixteen million, seven hundred twenty-eight thousand, three hundred forty-eight".