10106055506001 has 64 divisors (see below), whose sum is σ = 16695567257600. Its totient is φ = 5294923934976.

The previous prime is 10106055505999. The next prime is 10106055506011. The reversal of 10106055506001 is 10060555060101.

It is not a de Polignac number, because 10106055506001 - 2¹ = 10106055505999 is a prime.

It is a super-3 number, since 3×10106055506001³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10106055506001.

It is not an unprimeable number, because it can be changed into a prime (10106055506011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131930730 + ... + 132007308.

It is an arithmetic number, because the mean of its divisors is an integer number (260868238400).

Almost surely, 2^{10106055506001} is an apocalyptic number.

It is an amenable number.

10106055506001 is a deficient number, since it is larger than the sum of its proper divisors (6589511751599).

10106055506001 is a wasteful number, since it uses less digits than its factorization.

10106055506001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79838.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 10106055506001 in words is "ten trillion, one hundred six billion, fifty-five million, five hundred six thousand, one".