10042500105504 has 144 divisors (see below), whose sum is σ = 29643961943232. Its totient is φ = 3344348176128.

The previous prime is 10042500105503. The next prime is 10042500105577. The reversal of 10042500105504 is 40550100524001.

10042500105504 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 50 + 0 + 105 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10042500105504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10042500105503) 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 in 23 ways as a sum of consecutive naturals, for example, 7658422 + ... + 8873354.

It is an arithmetic number, because the mean of its divisors is an integer number (205860846828).

Almost surely, 2^{10042500105504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042500105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821980971616).

10042500105504 is an abundant number, since it is smaller than the sum of its proper divisors (19601461837728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042500105504 is a wasteful number, since it uses less digits than its factorization.

10042500105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216021 (or 1216001 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 10042500105504 its reverse (40550100524001), we get a palindrome (50592600629505).

The spelling of 10042500105504 in words is "ten trillion, forty-two billion, five hundred million, one hundred five thousand, five hundred four".