105064104 has 16 divisors (see below), whose sum is σ = 262660320. Its totient is φ = 35021360.

The previous prime is 105064079. The next prime is 105064109. The reversal of 105064104 is 401460501.

It is a super-3 number, since 3×105064104³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105064109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188812 + ... + 2188859.

It is an arithmetic number, because the mean of its divisors is an integer number (16416270).

Almost surely, 2^105064104 is an apocalyptic number.

It is an amenable number.

105064104 is an abundant number, since it is smaller than the sum of its proper divisors (157596216).

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

105064104 is a wasteful number, since it uses less digits than its factorization.

105064104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377680 (or 4377676 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105064104 is about 10250.0782436038. The cubic root of 105064104 is about 471.8653858194.

The spelling of 105064104 in words is "one hundred five million, sixty-four thousand, one hundred four".