105777053627 has 8 divisors (see below), whose sum is σ = 121183634400. Its totient is φ = 90444366144.

The previous prime is 105777053609. The next prime is 105777053671. The reversal of 105777053627 is 726350777501.

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

It is a cyclic number.

It is not a de Polignac number, because 105777053627 - 2¹⁰ = 105777052603 is a prime.

It is a super-2 number, since 2×105777053627² (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 (105777653627) 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, 18470252 + ... + 18475977.

It is an arithmetic number, because the mean of its divisors is an integer number (15147954300).

Almost surely, 2^105777053627 is an apocalyptic number.

105777053627 is a deficient number, since it is larger than the sum of its proper divisors (15406580773).

105777053627 is an equidigital number, since it uses as much as digits as its factorization.

105777053627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36946645.

The product of its (nonzero) digits is 2160900, while the sum is 50.

The spelling of 105777053627 in words is "one hundred five billion, seven hundred seventy-seven million, fifty-three thousand, six hundred twenty-seven".