105006120015 has 16 divisors (see below), whose sum is σ = 168028233696. Its totient is φ = 55997116800.

The previous prime is 105006119993. The next prime is 105006120031. The reversal of 105006120015 is 510021600501.

It is not a de Polignac number, because 105006120015 - 2⁶ = 105006119951 is a prime.

It is a super-2 number, since 2×105006120015² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105006119973 and 105006120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241276 + ... + 517905.

It is an arithmetic number, because the mean of its divisors is an integer number (10501764606).

Almost surely, 2^105006120015 is an apocalyptic number.

105006120015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105006120015 is a deficient number, since it is larger than the sum of its proper divisors (63022113681).

105006120015 is an equidigital number, since it uses as much as digits as its factorization.

105006120015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768410.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105006120015 its reverse (510021600501), we get a palindrome (615027720516).

The spelling of 105006120015 in words is "one hundred five billion, six million, one hundred twenty thousand, fifteen".