105371064 has 32 divisors (see below), whose sum is σ = 292698000. Its totient is φ = 35123616.

The previous prime is 105371059. The next prime is 105371087. The reversal of 105371064 is 460173501.

It is a super-3 number, since 3×105371064³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243699 + ... + 244130.

Almost surely, 2^105371064 is an apocalyptic number.

It is an amenable number.

105371064 is an abundant number, since it is smaller than the sum of its proper divisors (187326936).

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

105371064 is a wasteful number, since it uses less digits than its factorization.

105371064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487844 (or 487834 counting only the distinct ones).

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

The square root of 105371064 is about 10265.0408669425. The cubic root of 105371064 is about 472.3244800330.

The spelling of 105371064 in words is "one hundred five million, three hundred seventy-one thousand, sixty-four".