105349579777 has 8 divisors (see below), whose sum is σ = 113460447464. Its totient is φ = 97239719808.

The previous prime is 105349579763. The next prime is 105349579781. The reversal of 105349579777 is 777975943501.

It is a Cunningham number, because it is equal to 324576²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 14946529536 + 90403050241 = 122256^2 + 300671^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105349579777 is a prime.

It is a super-2 number, since 2×105349579777² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105349579747) 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, 27378 + ... + 459835.

It is an arithmetic number, because the mean of its divisors is an integer number (14182555933).

Almost surely, 2^105349579777 is an apocalyptic number.

It is an amenable number.

105349579777 is a deficient number, since it is larger than the sum of its proper divisors (8110867687).

105349579777 is a wasteful number, since it uses less digits than its factorization.

105349579777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503859.

The product of its (nonzero) digits is 58344300, while the sum is 64.

The spelling of 105349579777 in words is "one hundred five billion, three hundred forty-nine million, five hundred seventy-nine thousand, seven hundred seventy-seven".