105165114 has 32 divisors (see below), whose sum is σ = 224450880. Its totient is φ = 32752512.

The previous prime is 105165103. The next prime is 105165127. The reversal of 105165114 is 411561501.

It is a super-2 number, since 2×105165114² = 22119402405265992, which contains 22 as substring.

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, 2004 + ... + 14640.

It is an arithmetic number, because the mean of its divisors is an integer number (7014090).

Almost surely, 2^105165114 is an apocalyptic number.

105165114 is an abundant number, since it is smaller than the sum of its proper divisors (119285766).

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

105165114 is a wasteful number, since it uses less digits than its factorization.

105165114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 105165114 is about 10255.0043393457. The cubic root of 105165114 is about 472.0165565628.

The spelling of 105165114 in words is "one hundred five million, one hundred sixty-five thousand, one hundred fourteen".