105620364 has 36 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 35162400.

The previous prime is 105620357. The next prime is 105620413. The reversal of 105620364 is 463026501.

105620364 is a `hidden beast` number, since 1 + 0 + 5 + 620 + 36 + 4 = 666.

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

It is a super-2 number, since 2×105620364² = 22311322582984992, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40162 + ... + 42710.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^105620364 is an apocalyptic number.

It is an amenable number.

105620364 is an abundant number, since it is smaller than the sum of its proper divisors (161701236).

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

105620364 is a wasteful number, since it uses less digits than its factorization.

105620364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105620364 is about 10277.1768496995. The cubic root of 105620364 is about 472.6966813672.

Adding to 105620364 its reverse (463026501), we get a palindrome (568646865).

The spelling of 105620364 in words is "one hundred five million, six hundred twenty thousand, three hundred sixty-four".