106470880256 has 176 divisors, whose sum is σ = 238509070800. Its totient is φ = 47167045632.

The previous prime is 106470880223. The next prime is 106470880297. The reversal of 106470880256 is 652088074601.

It can be written as a sum of positive squares in 8 ways, for example, as 31963718656 + 74507161600 = 178784^2 + 272960^2 .

It is a super-2 number, since 2×106470880256² (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 106470880256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74506550 + ... + 74507978.

It is an arithmetic number, because the mean of its divisors is an integer number (1355165175).

Almost surely, 2^106470880256 is an apocalyptic number.

106470880256 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 106470880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119254535400).

106470880256 is an abundant number, since it is smaller than the sum of its proper divisors (132038190544).

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

106470880256 is a wasteful number, since it uses less digits than its factorization.

106470880256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 106470880256 in words is "one hundred six billion, four hundred seventy million, eight hundred eighty thousand, two hundred fifty-six".