105352506026656 has 24 divisors (see below), whose sum is σ = 237043138560480. Its totient is φ = 45151074011328.

The previous prime is 105352506026609. The next prime is 105352506026689. The reversal of 105352506026656 is 656620605253501.

It is a happy number.

It is a super-2 number, since 2×105352506026656² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235161843586 + ... + 235161844033.

It is an arithmetic number, because the mean of its divisors is an integer number (9876797440020).

Almost surely, 2^{105352506026656} is an apocalyptic number.

105352506026656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105352506026656 is an abundant number, since it is smaller than the sum of its proper divisors (131690632533824).

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

105352506026656 is an equidigital number, since it uses as much as digits as its factorization.

105352506026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470323687636 (or 470323687628 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 52.

The spelling of 105352506026656 in words is "one hundred five trillion, three hundred fifty-two billion, five hundred six million, twenty-six thousand, six hundred fifty-six".