105165106100115 has 32 divisors (see below), whose sum is σ = 170395552081920. Its totient is φ = 55377607948416.

The previous prime is 105165106100111. The next prime is 105165106100137. The reversal of 105165106100115 is 511001601561501.

It is not a de Polignac number, because 105165106100115 - 2² = 105165106100111 is a prime.

It is a super-2 number, since 2×105165106100115² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105165106100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171023949 + ... + 171637761.

It is an arithmetic number, because the mean of its divisors is an integer number (5324861002560).

Almost surely, 2^{105165106100115} is an apocalyptic number.

105165106100115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105165106100115 is a deficient number, since it is larger than the sum of its proper divisors (65230445981805).

105165106100115 is a wasteful number, since it uses less digits than its factorization.

105165106100115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758483.

The product of its (nonzero) digits is 4500, while the sum is 33.

Adding to 105165106100115 its reverse (511001601561501), we get a palindrome (616166707661616).

The spelling of 105165106100115 in words is "one hundred five trillion, one hundred sixty-five billion, one hundred six million, one hundred thousand, one hundred fifteen".