105436704 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 33465600.

The previous prime is 105436697. The next prime is 105436763. The reversal of 105436704 is 407634501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105436704² = 22233797100767232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211047 + ... + 211545.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^105436704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105436704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

105436704 is an abundant number, since it is smaller than the sum of its proper divisors (184867296).

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

105436704 is a wasteful number, since it uses less digits than its factorization.

105436704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 105436704 is about 10268.2376287268. The cubic root of 105436704 is about 472.4225365018.

The spelling of 105436704 in words is "one hundred five million, four hundred thirty-six thousand, seven hundred four".