10031124400 has 120 divisors (see below), whose sum is σ = 26344300464. Its totient is φ = 3640243200.

The previous prime is 10031124373. The next prime is 10031124401. The reversal of 10031124400 is 442113001.

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

It is not an unprimeable number, because it can be changed into a prime (10031124401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2448754 + ... + 2452846.

Almost surely, 2^10031124400 is an apocalyptic number.

10031124400 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 10031124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172150232).

10031124400 is an abundant number, since it is smaller than the sum of its proper divisors (16313176064).

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

10031124400 is a wasteful number, since it uses less digits than its factorization.

10031124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4668 counting only the distinct ones).

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

Adding to 10031124400 its reverse (442113001), we get a palindrome (10473237401).

It can be divided in two parts, 10031 and 124400, that added together give a palindrome (134431).

The spelling of 10031124400 in words is "ten billion, thirty-one million, one hundred twenty-four thousand, four hundred".