106277936856 has 256 divisors, whose sum is σ = 346550400000. Its totient is φ = 26374367232.

The previous prime is 106277936851. The next prime is 106277936857. The reversal of 106277936856 is 658639772601.

It is a super-2 number, since 2×106277936856² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106277936856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106277936851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6174310 + ... + 6191498.

It is an arithmetic number, because the mean of its divisors is an integer number (1353712500).

Almost surely, 2^106277936856 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 106277936856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173275200000).

106277936856 is an abundant number, since it is smaller than the sum of its proper divisors (240272463144).

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

106277936856 is a wasteful number, since it uses less digits than its factorization.

106277936856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 106277936856 in words is "one hundred six billion, two hundred seventy-seven million, nine hundred thirty-six thousand, eight hundred fifty-six".