105935640963 has 8 divisors (see below), whose sum is σ = 141386960208. Its totient is φ = 70554041184.

The previous prime is 105935640953. The next prime is 105935640991. The reversal of 105935640963 is 369046539501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105935640963 - 2¹⁷ = 105935509891 is a prime.

It is a super-2 number, since 2×105935640963² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105935640953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17426320 + ... + 17432397.

It is an arithmetic number, because the mean of its divisors is an integer number (17673370026).

Almost surely, 2^105935640963 is an apocalyptic number.

105935640963 is a deficient number, since it is larger than the sum of its proper divisors (35451319245).

105935640963 is a wasteful number, since it uses less digits than its factorization.

105935640963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34859733.

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 105935640963 in words is "one hundred five billion, nine hundred thirty-five million, six hundred forty thousand, nine hundred sixty-three".