20103210400 has 432 divisors, whose sum is σ = 62240016384. Its totient is φ = 6284113920.

The previous prime is 20103210371. The next prime is 20103210427. The reversal of 20103210400 is 401230102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52488609 + ... + 52488991.

It is an arithmetic number, because the mean of its divisors is an integer number (144074112).

Almost surely, 2^20103210400 is an apocalyptic number.

20103210400 is a gapful number since it is divisible by the number (20) 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 20103210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31120008192).

20103210400 is an abundant number, since it is smaller than the sum of its proper divisors (42136805984).

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

20103210400 is a wasteful number, since it uses less digits than its factorization.

20103210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20103210400 its reverse (401230102), we get a palindrome (20504440502).

The spelling of 20103210400 in words is "twenty billion, one hundred three million, two hundred ten thousand, four hundred".