10206745204700 has 144 divisors (see below), whose sum is σ = 24398844624000. Its totient is φ = 3675216057600.

The previous prime is 10206745204673. The next prime is 10206745204717. The reversal of 10206745204700 is 740254760201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281167151 + ... + 281203449.

It is an arithmetic number, because the mean of its divisors is an integer number (169436421000).

Almost surely, 2^{10206745204700} is an apocalyptic number.

10206745204700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206745204700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199422312000).

10206745204700 is an abundant number, since it is smaller than the sum of its proper divisors (14192099419300).

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

10206745204700 is a wasteful number, since it uses less digits than its factorization.

10206745204700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38820 (or 38813 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

Adding to 10206745204700 its reverse (740254760201), we get a palindrome (10946999964901).

The spelling of 10206745204700 in words is "ten trillion, two hundred six billion, seven hundred forty-five million, two hundred four thousand, seven hundred".