105655771567 has 8 divisors (see below), whose sum is σ = 106065810576. Its totient is φ = 105245991552.

The previous prime is 105655771523. The next prime is 105655771603. The reversal of 105655771567 is 765177556501.

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 105655771567 - 2¹¹ = 105655769519 is a prime.

It is a super-2 number, since 2×105655771567² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655771867) 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, 773703 + ... + 899959.

It is an arithmetic number, because the mean of its divisors is an integer number (13258226322).

Almost surely, 2^105655771567 is an apocalyptic number.

105655771567 is a deficient number, since it is larger than the sum of its proper divisors (410039009).

105655771567 is a wasteful number, since it uses less digits than its factorization.

105655771567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129497.

The product of its (nonzero) digits is 7717500, while the sum is 55.

The spelling of 105655771567 in words is "one hundred five billion, six hundred fifty-five million, seven hundred seventy-one thousand, five hundred sixty-seven".