105621165555 has 32 divisors (see below), whose sum is σ = 169268775168. Its totient is φ = 56239747200.

The previous prime is 105621165521. The next prime is 105621165577. The reversal of 105621165555 is 555561126501.

It is not a de Polignac number, because 105621165555 - 2⁶ = 105621165491 is a prime.

It is a super-2 number, since 2×105621165555² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 38673540 + ... + 38676270.

It is an arithmetic number, because the mean of its divisors is an integer number (5289649224).

Almost surely, 2^105621165555 is an apocalyptic number.

105621165555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105621165555 is a deficient number, since it is larger than the sum of its proper divisors (63647609613).

105621165555 is a wasteful number, since it uses less digits than its factorization.

105621165555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987.

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 105621165555 in words is "one hundred five billion, six hundred twenty-one million, one hundred sixty-five thousand, five hundred fifty-five".