105577525108 has 48 divisors (see below), whose sum is σ = 207841027968. Its totient is φ = 46509120000.

The previous prime is 105577525063. The next prime is 105577525121. The reversal of 105577525108 is 801525775501.

It is a super-2 number, since 2×105577525108² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78616 + ... + 466192.

It is an arithmetic number, because the mean of its divisors is an integer number (4330021416).

Almost surely, 2^105577525108 is an apocalyptic number.

It is an amenable number.

105577525108 is a deficient number, since it is larger than the sum of its proper divisors (102263502860).

105577525108 is a wasteful number, since it uses less digits than its factorization.

105577525108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387784 (or 387782 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 46.

The spelling of 105577525108 in words is "one hundred five billion, five hundred seventy-seven million, five hundred twenty-five thousand, one hundred eight".