105982905 has 16 divisors (see below), whose sum is σ = 193797504. Its totient is φ = 48449280.

The previous prime is 105982901. The next prime is 105982937. The reversal of 105982905 is 509289501.

It is not a de Polignac number, because 105982905 - 2² = 105982901 is a prime.

It is a super-2 number, since 2×105982905² = 22464752304478050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105982901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504576 + ... + 504785.

It is an arithmetic number, because the mean of its divisors is an integer number (12112344).

Almost surely, 2^105982905 is an apocalyptic number.

105982905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105982905 is a deficient number, since it is larger than the sum of its proper divisors (87814599).

105982905 is a wasteful number, since it uses less digits than its factorization.

105982905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009376.

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 105982905 is about 10294.7999009209. The cubic root of 105982905 is about 473.2369061766.

The spelling of 105982905 in words is "one hundred five million, nine hundred eighty-two thousand, nine hundred five".