105763833338385 has 32 divisors (see below), whose sum is σ = 169534559738880. Its totient is φ = 56303239382208.

The previous prime is 105763833338381. The next prime is 105763833338543. The reversal of 105763833338385 is 583833338367501.

It is not a de Polignac number, because 105763833338385 - 2² = 105763833338381 is a prime.

It is a super-2 number, since 2×105763833338385² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105763833338381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743786004 + ... + 743928186.

It is an arithmetic number, because the mean of its divisors is an integer number (5297954991840).

Almost surely, 2^{105763833338385} is an apocalyptic number.

105763833338385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105763833338385 is a deficient number, since it is larger than the sum of its proper divisors (63770726400495).

105763833338385 is a wasteful number, since it uses less digits than its factorization.

105763833338385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233397.

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 105763833338385 in words is "one hundred five trillion, seven hundred sixty-three billion, eight hundred thirty-three million, three hundred thirty-eight thousand, three hundred eighty-five".