105033046631 has 8 divisors (see below), whose sum is σ = 108039509760. Its totient is φ = 102058738488.

The previous prime is 105033046627. The next prime is 105033046637. The reversal of 105033046631 is 136640330501.

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 105033046631 - 2² = 105033046627 is a prime.

It is a super-2 number, since 2×105033046631² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033046637) 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, 8032121 + ... + 8045186.

It is an arithmetic number, because the mean of its divisors is an integer number (13504938720).

Almost surely, 2^105033046631 is an apocalyptic number.

105033046631 is a deficient number, since it is larger than the sum of its proper divisors (3006463129).

105033046631 is a wasteful number, since it uses less digits than its factorization.

105033046631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16077493.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 105033046631 in words is "one hundred five billion, thirty-three million, forty-six thousand, six hundred thirty-one".