105164346 has 32 divisors (see below), whose sum is σ = 254517120. Its totient is φ = 28279296.

The previous prime is 105164341. The next prime is 105164377. The reversal of 105164346 is 643461501.

It is a super-2 number, since 2×105164346² = 22119079339215432, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105164341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72931 + ... + 74358.

It is an arithmetic number, because the mean of its divisors is an integer number (7953660).

Almost surely, 2^105164346 is an apocalyptic number.

105164346 is an abundant number, since it is smaller than the sum of its proper divisors (149352774).

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

105164346 is a wasteful number, since it uses less digits than its factorization.

105164346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147318.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 105164346 is about 10254.9668941445. The cubic root of 105164346 is about 472.0154075455.

It can be divided in two parts, 105 and 164346, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 105164346 in words is "one hundred five million, one hundred sixty-four thousand, three hundred forty-six".