16106055506001 has 24 divisors (see below), whose sum is σ = 23300392195080. Its totient is φ = 10720724484096.

The previous prime is 16106055505979. The next prime is 16106055506017. The reversal of 16106055506001 is 10060555060161.

It can be written as a sum of positive squares in 4 ways, for example, as 1003505066001 + 15102550440000 = 1001751^2 + 3886200^2 .

It is not a de Polignac number, because 16106055506001 - 2¹⁸ = 16106055243857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16106055506041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17210965 + ... + 18122621.

It is an arithmetic number, because the mean of its divisors is an integer number (970849674795).

Almost surely, 2^{16106055506001} is an apocalyptic number.

It is an amenable number.

16106055506001 is a deficient number, since it is larger than the sum of its proper divisors (7194336689079).

16106055506001 is a wasteful number, since it uses less digits than its factorization.

16106055506001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914705 (or 914702 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 16106055506001 in words is "sixteen trillion, one hundred six billion, fifty-five million, five hundred six thousand, one".