105601604775 has 24 divisors (see below), whose sum is σ = 175290280704. Its totient is φ = 56096460000.

The previous prime is 105601604767. The next prime is 105601604803. The reversal of 105601604775 is 577406106501.

It is not a de Polignac number, because 105601604775 - 2³ = 105601604767 is a prime.

It is a super-2 number, since 2×105601604775² (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 23 ways as a sum of consecutive naturals, for example, 2785999 + ... + 2823648.

It is an arithmetic number, because the mean of its divisors is an integer number (7303761696).

Almost surely, 2^105601604775 is an apocalyptic number.

105601604775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105601604775 is a deficient number, since it is larger than the sum of its proper divisors (69688675929).

105601604775 is a wasteful number, since it uses less digits than its factorization.

105601604775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609911 (or 5609906 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 105601604775 in words is "one hundred five billion, six hundred one million, six hundred four thousand, seven hundred seventy-five".