106026109728 has 576 divisors, whose sum is σ = 380734857216. Its totient is φ = 25067520000.

The previous prime is 106026109699. The next prime is 106026109729. The reversal of 106026109728 is 827901620601.

It is a super-2 number, since 2×106026109728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 106026109728.

It is not an unprimeable number, because it can be changed into a prime (106026109729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66224128 + ... + 66225728.

It is an arithmetic number, because the mean of its divisors is an integer number (660998016).

Almost surely, 2^106026109728 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 106026109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190367428608).

106026109728 is an abundant number, since it is smaller than the sum of its proper divisors (274708747488).

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

106026109728 is a wasteful number, since it uses less digits than its factorization.

106026109728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 106026109728 in words is "one hundred six billion, twenty-six million, one hundred nine thousand, seven hundred twenty-eight".