105349579775 has 48 divisors (see below), whose sum is σ = 150117891840. Its totient is φ = 72533030400.

The previous prime is 105349579763. The next prime is 105349579781. The reversal of 105349579775 is 577975943501.

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

It is not a de Polignac number, because 105349579775 - 2⁴ = 105349579759 is a prime.

It is a super-2 number, since 2×105349579775² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8107934 + ... + 8120916.

It is an arithmetic number, because the mean of its divisors is an integer number (3127456080).

Almost surely, 2^105349579775 is an apocalyptic number.

105349579775 is a deficient number, since it is larger than the sum of its proper divisors (44768312065).

105349579775 is a wasteful number, since it uses less digits than its factorization.

105349579775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 41674500, while the sum is 62.

The spelling of 105349579775 in words is "one hundred five billion, three hundred forty-nine million, five hundred seventy-nine thousand, seven hundred seventy-five".