105339464933501 has 16 divisors (see below), whose sum is σ = 109283715946944. Its totient is φ = 101477734136064.

The previous prime is 105339464933449. The next prime is 105339464933513.

105339464933501 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 105339464933501 - 2²² = 105339460739197 is a prime.

It is a super-2 number, since 2×105339464933501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105339464933531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47223740 + ... + 49404053.

It is an arithmetic number, because the mean of its divisors is an integer number (6830232246684).

Almost surely, 2^{105339464933501} is an apocalyptic number.

It is an amenable number.

105339464933501 is a deficient number, since it is larger than the sum of its proper divisors (3944251013443).

105339464933501 is an equidigital number, since it uses as much as digits as its factorization.

105339464933501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96628220.

The product of its (nonzero) digits is 15746400, while the sum is 56.

The spelling of 105339464933501 in words is "one hundred five trillion, three hundred thirty-nine billion, four hundred sixty-four million, nine hundred thirty-three thousand, five hundred one".