10206440010 has 192 divisors, whose sum is σ = 30038456448. Its totient is φ = 2387169792.

The previous prime is 10206439993. The next prime is 10206440011. The reversal of 10206440010 is 1004460201.

10206440010 is a `hidden beast` number, since 1 + 0 + 20 + 644 + 0 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10206440011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1858729 + ... + 1864211.

It is an arithmetic number, because the mean of its divisors is an integer number (156450294).

Almost surely, 2^10206440010 is an apocalyptic number.

10206440010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019228224).

10206440010 is an abundant number, since it is smaller than the sum of its proper divisors (19832016438).

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

10206440010 is a wasteful number, since it uses less digits than its factorization.

10206440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10206440010 in words is "ten billion, two hundred six million, four hundred forty thousand, ten".