10100165005606 has 48 divisors (see below), whose sum is σ = 17400558162240. Its totient is φ = 4382554157280.

The previous prime is 10100165005577. The next prime is 10100165005631. The reversal of 10100165005606 is 60650056100101.

10100165005606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100165005606² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5161560 + ... + 6844123.

It is an arithmetic number, because the mean of its divisors is an integer number (362511628380).

Almost surely, 2^{10100165005606} is an apocalyptic number.

10100165005606 is a deficient number, since it is larger than the sum of its proper divisors (7300393156634).

10100165005606 is a wasteful number, since it uses less digits than its factorization.

10100165005606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12005861 (or 12005848 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 10100165005606 in words is "ten trillion, one hundred billion, one hundred sixty-five million, five thousand, six hundred six".