10204102164006 has 40 divisors (see below), whose sum is σ = 23067090380664. Its totient is φ = 3371266785600.

The previous prime is 10204102163987. The next prime is 10204102164029. The reversal of 10204102164006 is 60046120140201.

10204102164006 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 10 + 2 + 1 + 640 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278690920 + ... + 278727531.

Almost surely, 2^{10204102164006} is an apocalyptic number.

10204102164006 is an abundant number, since it is smaller than the sum of its proper divisors (12862988216658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204102164006 is a wasteful number, since it uses less digits than its factorization.

10204102164006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557418578 (or 557418569 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10204102164006 in words is "ten trillion, two hundred four billion, one hundred two million, one hundred sixty-four thousand, six".