105005057055 has 32 divisors (see below), whose sum is σ = 178114971648. Its totient is φ = 52731388800.

The previous prime is 105005056999. The next prime is 105005057081. The reversal of 105005057055 is 550750500501.

It is not a de Polignac number, because 105005057055 - 2¹⁷ = 105004925983 is a prime.

It is a super-2 number, since 2×105005057055² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3034381 + ... + 3068790.

It is an arithmetic number, because the mean of its divisors is an integer number (5566092864).

Almost surely, 2^105005057055 is an apocalyptic number.

105005057055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105005057055 is a deficient number, since it is larger than the sum of its proper divisors (73109914593).

105005057055 is a wasteful number, since it uses less digits than its factorization.

105005057055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103247.

The product of its (nonzero) digits is 21875, while the sum is 33.

Adding to 105005057055 its reverse (550750500501), we get a palindrome (655755557556).

The spelling of 105005057055 in words is "one hundred five billion, five million, fifty-seven thousand, fifty-five".