106775365224 has 128 divisors (see below), whose sum is σ = 293735208960. Its totient is φ = 32076000000.

The previous prime is 106775365223. The next prime is 106775365253. The reversal of 106775365224 is 422563577601.

It is a Cunningham number, because it is equal to 326765²-1.

It is a super-2 number, since 2×106775365224² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106775365223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21563949 + ... + 21568899.

It is an arithmetic number, because the mean of its divisors is an integer number (2294806320).

Almost surely, 2^106775365224 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 106775365224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146867604480).

106775365224 is an abundant number, since it is smaller than the sum of its proper divisors (186959843736).

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

106775365224 is a wasteful number, since it uses less digits than its factorization.

106775365224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 106775365224 in words is "one hundred six billion, seven hundred seventy-five million, three hundred sixty-five thousand, two hundred twenty-four".