10006055501 has 12 divisors (see below), whose sum is σ = 10854513972. Its totient is φ = 9219689856.

The previous prime is 10006055491. The next prime is 10006055561. The reversal of 10006055501 is 10555060001.

It can be written as a sum of positive squares in 6 ways, for example, as 2867495401 + 7138560100 = 53549^2 + 84490^2 .

It is not a de Polignac number, because 10006055501 - 2²² = 10001861197 is a prime.

It is a super-2 number, since 2×10006055501² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006055561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40985 + ... + 147281.

It is an arithmetic number, because the mean of its divisors is an integer number (904542831).

Almost surely, 2^10006055501 is an apocalyptic number.

It is an amenable number.

10006055501 is a deficient number, since it is larger than the sum of its proper divisors (848458471).

10006055501 is a wasteful number, since it uses less digits than its factorization.

10006055501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106880 (or 106867 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10006055501 in words is "ten billion, six million, fifty-five thousand, five hundred one".