105813017761 has 8 divisors (see below), whose sum is σ = 117388864800. Its totient is φ = 94563251040.

The previous prime is 105813017753. The next prime is 105813017899. The reversal of 105813017761 is 167710318501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105813017761 - 2³ = 105813017753 is a prime.

It is a super-2 number, since 2×105813017761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105813017161) 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, 81519396 + ... + 81520693.

It is an arithmetic number, because the mean of its divisors is an integer number (14673608100).

Almost surely, 2^105813017761 is an apocalyptic number.

105813017761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105813017761 is a deficient number, since it is larger than the sum of its proper divisors (11575847039).

105813017761 is a wasteful number, since it uses less digits than its factorization.

105813017761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163040159.

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 105813017761 in words is "one hundred five billion, eight hundred thirteen million, seventeen thousand, seven hundred sixty-one".