105005055 has 8 divisors (see below), whose sum is σ = 168008112. Its totient is φ = 56002688.

The previous prime is 105005009. The next prime is 105005057. The reversal of 105005055 is 550500501.

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 105005055 - 2⁸ = 105004799 is a prime.

It is a super-2 number, since 2×105005055² = 22052123151106050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005057) 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, 3500154 + ... + 3500183.

It is an arithmetic number, because the mean of its divisors is an integer number (21001014).

Almost surely, 2^105005055 is an apocalyptic number.

105005055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105005055 is a deficient number, since it is larger than the sum of its proper divisors (63003057).

105005055 is an equidigital number, since it uses as much as digits as its factorization.

105005055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000345.

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 105005055 is about 10247.1974217344. The cubic root of 105005055 is about 471.7769686857.

Adding to 105005055 its reverse (550500501), we get a palindrome (655505556).

The spelling of 105005055 in words is "one hundred five million, five thousand, fifty-five".