106817779296 has 720 divisors, whose sum is σ = 356681389680. Its totient is φ = 31240857600.

The previous prime is 106817779283. The next prime is 106817779301. The reversal of 106817779296 is 692977718601.

106817779296 is a `hidden beast` number, since 106 + 8 + 177 + 79 + 296 = 666.

It is a super-2 number, since 2×106817779296² (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 119 ways as a sum of consecutive naturals, for example, 1751111106 + ... + 1751111166.

It is an arithmetic number, because the mean of its divisors is an integer number (495390819).

Almost surely, 2^106817779296 is an apocalyptic number.

106817779296 is a gapful number since it is divisible by the number (16) 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 106817779296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178340694840).

106817779296 is an abundant number, since it is smaller than the sum of its proper divisors (249863610384).

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

106817779296 is a wasteful number, since it uses less digits than its factorization.

106817779296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 106817779296 in words is "one hundred six billion, eight hundred seventeen million, seven hundred seventy-nine thousand, two hundred ninety-six".