105105500510 has 32 divisors (see below), whose sum is σ = 197576451072. Its totient is φ = 40181502240.

The previous prime is 105105500509. The next prime is 105105500537. The reversal of 105105500510 is 15005501501.

It is a happy number.

It is a super-2 number, since 2×105105500510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 97517 + ... + 468743.

It is an arithmetic number, because the mean of its divisors is an integer number (6174264096).

Almost surely, 2^105105500510 is an apocalyptic number.

105105500510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105105500510 is a deficient number, since it is larger than the sum of its proper divisors (92470950562).

105105500510 is a wasteful number, since it uses less digits than its factorization.

105105500510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372488.

The product of its (nonzero) digits is 625, while the sum is 23.

Subtracting from 105105500510 its reverse (15005501501), we obtain a palindrome (90099999009).

The spelling of 105105500510 in words is "one hundred five billion, one hundred five million, five hundred thousand, five hundred ten".