106295722680 has 512 divisors, whose sum is σ = 413260185600. Its totient is φ = 21304166400.

The previous prime is 106295722679. The next prime is 106295722717. The reversal of 106295722680 is 86227592601.

It is a super-2 number, since 2×106295722680² (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 127 ways as a sum of consecutive naturals, for example, 11374810 + ... + 11384150.

It is an arithmetic number, because the mean of its divisors is an integer number (807148800).

Almost surely, 2^106295722680 is an apocalyptic number.

106295722680 is a gapful number since it is divisible by the number (10) 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 106295722680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206630092800).

106295722680 is an abundant number, since it is smaller than the sum of its proper divisors (306964462920).

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

106295722680 is a wasteful number, since it uses less digits than its factorization.

106295722680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 106295722680 in words is "one hundred six billion, two hundred ninety-five million, seven hundred twenty-two thousand, six hundred eighty".