105327785641 has 16 divisors (see below), whose sum is σ = 116087984320. Its totient is φ = 94948096320.

The previous prime is 105327785627. The next prime is 105327785681. The reversal of 105327785641 is 146587723501.

It is a cyclic number.

It is not a de Polignac number, because 105327785641 - 2¹¹ = 105327783593 is a prime.

It is a super-2 number, since 2×105327785641² (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 (105327785681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4156951 + ... + 4182211.

It is an arithmetic number, because the mean of its divisors is an integer number (7255499020).

Almost surely, 2^105327785641 is an apocalyptic number.

It is an amenable number.

105327785641 is a deficient number, since it is larger than the sum of its proper divisors (10760198679).

105327785641 is a wasteful number, since it uses less digits than its factorization.

105327785641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32776.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 105327785641 in words is "one hundred five billion, three hundred twenty-seven million, seven hundred eighty-five thousand, six hundred forty-one".