10207103200 has 144 divisors (see below), whose sum is σ = 28558172160. Its totient is φ = 3489707520.

The previous prime is 10207103177. The next prime is 10207103213. The reversal of 10207103200 is 230170201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2142421 + ... + 2147179.

It is an arithmetic number, because the mean of its divisors is an integer number (198320640).

Almost surely, 2^10207103200 is an apocalyptic number.

10207103200 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 10207103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279086080).

10207103200 is an abundant number, since it is smaller than the sum of its proper divisors (18351068960).

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

10207103200 is a wasteful number, since it uses less digits than its factorization.

10207103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 10207103200 its reverse (230170201), we get a palindrome (10437273401).

The spelling of 10207103200 in words is "ten billion, two hundred seven million, one hundred three thousand, two hundred".