105396012257536 has 729 divisors, whose sum is σ = 291737730016719. Its totient is φ = 37845526118400.

The previous prime is 105396012257533. The next prime is 105396012257579. The reversal of 105396012257536 is 635752210693501.

The square root of 105396012257536 is 10266256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 631452729600 + 104764559527936 = 794640^2 + 10235456^2 .

It is a super-2 number, since 2×105396012257536² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105396012257533) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 164424355776 + ... + 164424356416.

Almost surely, 2^{105396012257536} is an apocalyptic number.

105396012257536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105396012257536 is the 10266256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105396012257536

105396012257536 is an abundant number, since it is smaller than the sum of its proper divisors (186341717759183).

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

105396012257536 is an frugal number, since it uses more digits than its factorization.

105396012257536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 55.

The spelling of 105396012257536 in words is "one hundred five trillion, three hundred ninety-six billion, twelve million, two hundred fifty-seven thousand, five hundred thirty-six".