10105500055509 has 6 divisors (see below), whose sum is σ = 14596833413526. Its totient is φ = 6737000037000.

The previous prime is 10105500055501. The next prime is 10105500055517. The reversal of 10105500055509 is 90555000550101.

It is a happy number.

10105500055509 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 550 + 0 + 0 + 55 + 50 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (10105500055501) and next prime (10105500055517).

It can be written as a sum of positive squares in only one way, i.e., 6485910095025 + 3619589960484 = 2546745^2 + 1902522^2 .

It is not a de Polignac number, because 10105500055509 - 2³ = 10105500055501 is a prime.

It is a super-2 number, since 2×10105500055509² (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 (10105500055501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561416669742 + ... + 561416669759.

It is an arithmetic number, because the mean of its divisors is an integer number (2432805568921).

Almost surely, 2^{10105500055509} is an apocalyptic number.

It is an amenable number.

10105500055509 is a deficient number, since it is larger than the sum of its proper divisors (4491333358017).

10105500055509 is a wasteful number, since it uses less digits than its factorization.

10105500055509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122833339507 (or 1122833339504 counting only the distinct ones).

The product of its (nonzero) digits is 28125, while the sum is 36.

The spelling of 10105500055509 in words is "ten trillion, one hundred five billion, five hundred million, fifty-five thousand, five hundred nine".