105637033222561 has 8 divisors (see below), whose sum is σ = 113294931361920. Its totient is φ = 98188940511792.

The previous prime is 105637033222559. The next prime is 105637033222639. The reversal of 105637033222561 is 165222330736501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105637033222561 - 2¹ = 105637033222559 is a prime.

It is a super-2 number, since 2×105637033222561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105637033222531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52451356105 + ... + 52451358118.

It is an arithmetic number, because the mean of its divisors is an integer number (14161866420240).

Almost surely, 2^{105637033222561} is an apocalyptic number.

It is an amenable number.

105637033222561 is a deficient number, since it is larger than the sum of its proper divisors (7657898139359).

105637033222561 is a wasteful number, since it uses less digits than its factorization.

105637033222561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104902714295.

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 105637033222561 in words is "one hundred five trillion, six hundred thirty-seven billion, thirty-three million, two hundred twenty-two thousand, five hundred sixty-one".