106026319872 has 480 divisors, whose sum is σ = 348221462400. Its totient is φ = 32009748480.

The previous prime is 106026319859. The next prime is 106026319891. The reversal of 106026319872 is 278913620601.

106026319872 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 631 + 9 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×106026319872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394149754 + ... + 394150022.

It is an arithmetic number, because the mean of its divisors is an integer number (725461380).

Almost surely, 2^106026319872 is an apocalyptic number.

106026319872 is a gapful number since it is divisible by the number (12) 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 106026319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174110731200).

106026319872 is an abundant number, since it is smaller than the sum of its proper divisors (242195142528).

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

106026319872 is an frugal number, since it uses more digits than its factorization.

106026319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106026319872 in words is "one hundred six billion, twenty-six million, three hundred nineteen thousand, eight hundred seventy-two".