10103241400 has 144 divisors (see below), whose sum is σ = 27656589240. Its totient is φ = 3421958400.

The previous prime is 10103241359. The next prime is 10103241409. The reversal of 10103241400 is 414230101.

10103241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103241409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 807190 + ... + 819610.

Almost surely, 2^10103241400 is an apocalyptic number.

10103241400 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 10103241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828294620).

10103241400 is an abundant number, since it is smaller than the sum of its proper divisors (17553347840).

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

10103241400 is a wasteful number, since it uses less digits than its factorization.

10103241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10103241400 its reverse (414230101), we get a palindrome (10517471501).

The spelling of 10103241400 in words is "ten billion, one hundred three million, two hundred forty-one thousand, four hundred".