10206203904 has 416 divisors, whose sum is σ = 33760025600. Its totient is φ = 3025797120.

The previous prime is 10206203893. The next prime is 10206203933. The reversal of 10206203904 is 40930260201.

10206203904 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 620 + 39 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

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 31 ways as a sum of consecutive naturals, for example, 44568462 + ... + 44568690.

Almost surely, 2^10206203904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206203904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880012800).

10206203904 is an abundant number, since it is smaller than the sum of its proper divisors (23553821696).

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

10206203904 is a wasteful number, since it uses less digits than its factorization.

10206203904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10206203904 in words is "ten billion, two hundred six million, two hundred three thousand, nine hundred four".