105107364 has 36 divisors (see below), whose sum is σ = 266266000. Its totient is φ = 34959600.

The previous prime is 105107293. The next prime is 105107377. The reversal of 105107364 is 463701501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×105107364³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15039 + ... + 20889.

Almost surely, 2^105107364 is an apocalyptic number.

It is an amenable number.

105107364 is an abundant number, since it is smaller than the sum of its proper divisors (161158636).

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

105107364 is a wasteful number, since it uses less digits than its factorization.

105107364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105107364 is about 10252.1882542216. The cubic root of 105107364 is about 471.9301402400.

Adding to 105107364 its reverse (463701501), we get a palindrome (568808865).

The spelling of 105107364 in words is "one hundred five million, one hundred seven thousand, three hundred sixty-four".