10605510010004 has 144 divisors (see below), whose sum is σ = 23630393460240. Its totient is φ = 4127571302400.

The previous prime is 10605510009971. The next prime is 10605510010031. The reversal of 10605510010004 is 40001001550601.

It can be written as a sum of positive squares in 8 ways, for example, as 1317904 + 10605508692100 = 1148^2 + 3256610^2 .

It is a super-2 number, since 2×10605510010004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40272392 + ... + 40534880.

It is an arithmetic number, because the mean of its divisors is an integer number (164099954585).

Almost surely, 2^{10605510010004} is an apocalyptic number.

10605510010004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605510010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815196730120).

10605510010004 is an abundant number, since it is smaller than the sum of its proper divisors (13024883450236).

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

10605510010004 is a wasteful number, since it uses less digits than its factorization.

10605510010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262778 (or 262769 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 10605510010004 its reverse (40001001550601), we get a palindrome (50606511560605).

The spelling of 10605510010004 in words is "ten trillion, six hundred five billion, five hundred ten million, ten thousand, four".