105064905 has 48 divisors (see below), whose sum is σ = 186846912. Its totient is φ = 50371200.

The previous prime is 105064901. The next prime is 105064909. The reversal of 105064905 is 509460501.

It is an interprime number because it is at equal distance from previous prime (105064901) and next prime (105064909).

It is not a de Polignac number, because 105064905 - 2² = 105064901 is a prime.

It is a super-2 number, since 2×105064905² = 22077268525318050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105064901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193935 + ... + 194475.

It is an arithmetic number, because the mean of its divisors is an integer number (3892644).

Almost surely, 2^105064905 is an apocalyptic number.

105064905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105064905 is a deficient number, since it is larger than the sum of its proper divisors (81782007).

105064905 is a wasteful number, since it uses less digits than its factorization.

105064905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105064905 is about 10250.1173164018. The cubic root of 105064905 is about 471.8665849705.

The spelling of 105064905 in words is "one hundred five million, sixty-four thousand, nine hundred five".