105268705280640 has 3072 divisors, whose sum is σ = 432794122790400. Its totient is φ = 24441234554880.

The previous prime is 105268705280623. The next prime is 105268705280699. The reversal of 105268705280640 is 46082507862501.

105268705280640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 8 + 70 + 528 + 0 + 6 + 40 = 666.

It is a super-2 number, since 2×105268705280640² (a number of 29 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 383 ways as a sum of consecutive naturals, for example, 670501307442 + ... + 670501307598.

Almost surely, 2^{105268705280640} is an apocalyptic number.

105268705280640 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 105268705280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216397061395200).

105268705280640 is an abundant number, since it is smaller than the sum of its proper divisors (327525417509760).

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

105268705280640 is a wasteful number, since it uses less digits than its factorization.

105268705280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 105268705280640 in words is "one hundred five trillion, two hundred sixty-eight billion, seven hundred five million, two hundred eighty thousand, six hundred forty".