105106115 has 8 divisors (see below), whose sum is σ = 126833040. Its totient is φ = 83614432.

The previous prime is 105106091. The next prime is 105106123. The reversal of 105106115 is 511601501.

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 105106115 - 2⁸ = 105105859 is a prime.

It is a super-2 number, since 2×105106115² = 22094590820786450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57824 + ... + 59613.

It is an arithmetic number, because the mean of its divisors is an integer number (15854130).

Almost surely, 2^105106115 is an apocalyptic number.

105106115 is a deficient number, since it is larger than the sum of its proper divisors (21726925).

105106115 is a wasteful number, since it uses less digits than its factorization.

105106115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117621.

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 105106115 is about 10252.1273402158. The cubic root of 105106115 is about 471.9282709036.

Adding to 105106115 its reverse (511601501), we get a palindrome (616707616).

The spelling of 105106115 in words is "one hundred five million, one hundred six thousand, one hundred fifteen".