105917714 has 48 divisors (see below), whose sum is σ = 194825088. Its totient is φ = 43102752.

The previous prime is 105917689. The next prime is 105917759. The reversal of 105917714 is 417719501.

It is a super-3 number, since 3×105917714³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773054 + ... + 773190.

It is an arithmetic number, because the mean of its divisors is an integer number (4058856).

Almost surely, 2^105917714 is an apocalyptic number.

105917714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105917714 is a deficient number, since it is larger than the sum of its proper divisors (88907374).

105917714 is an frugal number, since it uses more digits than its factorization.

105917714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 35.

The square root of 105917714 is about 10291.6332037243. The cubic root of 105917714 is about 473.1398555726.

The spelling of 105917714 in words is "one hundred five million, nine hundred seventeen thousand, seven hundred fourteen".