10503412400 has 120 divisors (see below), whose sum is σ = 27258557424. Its totient is φ = 3866342400.

The previous prime is 10503412399. The next prime is 10503412411. The reversal of 10503412400 is 421430501.

It is a super-2 number, since 2×10503412400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1801490 + ... + 1807310.

Almost surely, 2^10503412400 is an apocalyptic number.

10503412400 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 10503412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629278712).

10503412400 is an abundant number, since it is smaller than the sum of its proper divisors (16755145024).

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

10503412400 is a wasteful number, since it uses less digits than its factorization.

10503412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10503412400 its reverse (421430501), we get a palindrome (10924842901).

The spelling of 10503412400 in words is "ten billion, five hundred three million, four hundred twelve thousand, four hundred".