105355624004 has 6 divisors (see below), whose sum is σ = 184372342014. Its totient is φ = 52677812000.

The previous prime is 105355623991. The next prime is 105355624007. The reversal of 105355624004 is 400426553501.

It can be written as a sum of positive squares in only one way, i.e., 87378177604 + 17977446400 = 295598^2 + 134080^2 .

It is a super-2 number, since 2×105355624004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355624007) 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 as a sum of consecutive naturals, namely, 13169452997 + ... + 13169453004.

It is an arithmetic number, because the mean of its divisors is an integer number (30728723669).

Almost surely, 2^105355624004 is an apocalyptic number.

It is an amenable number.

105355624004 is a deficient number, since it is larger than the sum of its proper divisors (79016718010).

105355624004 is a wasteful number, since it uses less digits than its factorization.

105355624004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26338906005 (or 26338906003 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 105355624004 in words is "one hundred five billion, three hundred fifty-five million, six hundred twenty-four thousand, four".