105539258735691 has 16 divisors (see below), whose sum is σ = 153520402500480. Its totient is φ = 63959539849920.

The previous prime is 105539258735683. The next prime is 105539258735719. The reversal of 105539258735691 is 196537852935501.

It is not a de Polignac number, because 105539258735691 - 2³ = 105539258735683 is a prime.

It is a super-2 number, since 2×105539258735691² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105539258735671) 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, 90594010 + ... + 91751583.

It is an arithmetic number, because the mean of its divisors is an integer number (9595025156280).

Almost surely, 2^{105539258735691} is an apocalyptic number.

105539258735691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105539258735691 is a deficient number, since it is larger than the sum of its proper divisors (47981143764789).

105539258735691 is a wasteful number, since it uses less digits than its factorization.

105539258735691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182363146.

The product of its (nonzero) digits is 306180000, while the sum is 69.

The spelling of 105539258735691 in words is "one hundred five trillion, five hundred thirty-nine billion, two hundred fifty-eight million, seven hundred thirty-five thousand, six hundred ninety-one".