105621367004 has 72 divisors (see below), whose sum is σ = 204447952800. Its totient is φ = 47647024128.

The previous prime is 105621366997. The next prime is 105621367039. The reversal of 105621367004 is 400763126501.

105621367004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105621367004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7731572 + ... + 7745220.

It is an arithmetic number, because the mean of its divisors is an integer number (2839554900).

Almost surely, 2^105621367004 is an apocalyptic number.

It is an amenable number.

105621367004 is a deficient number, since it is larger than the sum of its proper divisors (98826585796).

105621367004 is a wasteful number, since it uses less digits than its factorization.

105621367004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 105621367004 in words is "one hundred five billion, six hundred twenty-one million, three hundred sixty-seven thousand, four".