106791856704 has 280 divisors, whose sum is σ = 342671806400. Its totient is φ = 32689806336.

The previous prime is 106791856697. The next prime is 106791856723. The reversal of 106791856704 is 407658197601.

106791856704 is a `hidden beast` number, since 1 + 0 + 6 + 79 + 1 + 8 + 567 + 0 + 4 = 666.

It is a super-2 number, since 2×106791856704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13407027 + ... + 13414989.

It is an arithmetic number, because the mean of its divisors is an integer number (1223827880).

Almost surely, 2^106791856704 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 106791856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171335903200).

106791856704 is an abundant number, since it is smaller than the sum of its proper divisors (235879949696).

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

106791856704 is a wasteful number, since it uses less digits than its factorization.

106791856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 106791856704 in words is "one hundred six billion, seven hundred ninety-one million, eight hundred fifty-six thousand, seven hundred four".