10540210505204 has 6 divisors (see below), whose sum is σ = 18445368384114. Its totient is φ = 5270105252600.

The previous prime is 10540210505129. The next prime is 10540210505207. The reversal of 10540210505204 is 40250501204501.

It can be written as a sum of positive squares in only one way, i.e., 6790766928100 + 3749443577104 = 2605910^2 + 1936348^2 .

It is a super-2 number, since 2×10540210505204² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540210505207) 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, 1317526313147 + ... + 1317526313154.

It is an arithmetic number, because the mean of its divisors is an integer number (3074228064019).

Almost surely, 2^{10540210505204} is an apocalyptic number.

It is an amenable number.

10540210505204 is a deficient number, since it is larger than the sum of its proper divisors (7905157878910).

10540210505204 is a wasteful number, since it uses less digits than its factorization.

10540210505204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635052626305 (or 2635052626303 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 10540210505204 its reverse (40250501204501), we get a palindrome (50790711709705).

The spelling of 10540210505204 in words is "ten trillion, five hundred forty billion, two hundred ten million, five hundred five thousand, two hundred four".