105315114 has 32 divisors (see below), whose sum is σ = 220682880. Its totient is φ = 33442112.

The previous prime is 105315073. The next prime is 105315121. The reversal of 105315114 is 411513501.

It is a happy number.

It is a super-2 number, since 2×105315114² = 22182546473665992, which contains 22 as substring.

It is a Curzon 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, 35704 + ... + 38540.

It is an arithmetic number, because the mean of its divisors is an integer number (6896340).

Almost surely, 2^105315114 is an apocalyptic number.

105315114 is an abundant number, since it is smaller than the sum of its proper divisors (115367766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105315114 is a wasteful number, since it uses less digits than its factorization.

105315114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134.

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

The square root of 105315114 is about 10262.3152358520. The cubic root of 105315114 is about 472.2408668399.

Adding to 105315114 its reverse (411513501), we get a palindrome (516828615).

The spelling of 105315114 in words is "one hundred five million, three hundred fifteen thousand, one hundred fourteen".