105000100004 has 6 divisors (see below), whose sum is σ = 183750175014. Its totient is φ = 52500050000.

The previous prime is 105000100003. The next prime is 105000100021. The reversal of 105000100004 is 400001000501.

It can be written as a sum of positive squares in only one way, i.e., 93954510400 + 11045589604 = 306520^2 + 105098^2 .

It is a super-2 number, since 2×105000100004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105000100003) by changing a digit.

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 as a sum of consecutive naturals, namely, 13125012497 + ... + 13125012504.

It is an arithmetic number, because the mean of its divisors is an integer number (30625029169).

Almost surely, 2^105000100004 is an apocalyptic number.

It is an amenable number.

105000100004 is a deficient number, since it is larger than the sum of its proper divisors (78750075010).

105000100004 is a wasteful number, since it uses less digits than its factorization.

105000100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26250025005 (or 26250025003 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Adding to 105000100004 its reverse (400001000501), we get a palindrome (505001100505).

The spelling of 105000100004 in words is "one hundred five billion, one hundred thousand, four".