105055055506004 has 12 divisors (see below), whose sum is σ = 194660838143604. Its totient is φ = 49437673179264.

The previous prime is 105055055505889. The next prime is 105055055506007. The reversal of 105055055506004 is 400605550550501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95322964169104 + 9732091336900 = 9763348^2 + 3119630^2 .

It is a super-2 number, since 2×105055055506004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055055506007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 772463643359 + ... + 772463643494.

It is an arithmetic number, because the mean of its divisors is an integer number (16221736511967).

Almost surely, 2^{105055055506004} is an apocalyptic number.

It is an amenable number.

105055055506004 is a deficient number, since it is larger than the sum of its proper divisors (89605782637600).

105055055506004 is a wasteful number, since it uses less digits than its factorization.

105055055506004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544927286874 (or 1544927286872 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 105055055506004 in words is "one hundred five trillion, fifty-five billion, fifty-five million, five hundred six thousand, four".