105182107 has 8 divisors (see below), whose sum is σ = 106891920. Its totient is φ = 103485600.

The previous prime is 105182093. The next prime is 105182113. The reversal of 105182107 is 701281501.

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 105182107 - 2¹⁵ = 105149339 is a prime.

It is a super-2 number, since 2×105182107² = 22126551265918898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105182167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13269 + ... + 19657.

It is an arithmetic number, because the mean of its divisors is an integer number (13361490).

Almost surely, 2^105182107 is an apocalyptic number.

105182107 is a deficient number, since it is larger than the sum of its proper divisors (1709813).

105182107 is a wasteful number, since it uses less digits than its factorization.

105182107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 105182107 is about 10255.8328282007. The cubic root of 105182107 is about 472.0419786350.

The spelling of 105182107 in words is "one hundred five million, one hundred eighty-two thousand, one hundred seven".