105368970256 has 60 divisors (see below), whose sum is σ = 224887567212. Its totient is φ = 47790688000.

The previous prime is 105368970241. The next prime is 105368970269. The reversal of 105368970256 is 652079863501.

It can be written as a sum of positive squares in 2 ways, for example, as 19393347600 + 85975622656 = 139260^2 + 293216^2 .

It is a super-2 number, since 2×105368970256² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833466 + ... + 951526.

Almost surely, 2^105368970256 is an apocalyptic number.

105368970256 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 105368970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112443783606).

105368970256 is an abundant number, since it is smaller than the sum of its proper divisors (119518596956).

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

105368970256 is a wasteful number, since it uses less digits than its factorization.

105368970256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118552 (or 118535 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 105368970256 in words is "one hundred five billion, three hundred sixty-eight million, nine hundred seventy thousand, two hundred fifty-six".