10024444100 has 108 divisors (see below), whose sum is σ = 23991120720. Its totient is φ = 3605659200.

The previous prime is 10024444033. The next prime is 10024444127. The reversal of 10024444100 is 144442001.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 11669471 + ... + 11670329.

Almost surely, 2^10024444100 is an apocalyptic number.

10024444100 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 10024444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995560360).

10024444100 is an abundant number, since it is smaller than the sum of its proper divisors (13966676620).

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

10024444100 is a wasteful number, since it uses less digits than its factorization.

10024444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10024444100 its reverse (144442001), we get a palindrome (10168886101).

The spelling of 10024444100 in words is "ten billion, twenty-four million, four hundred forty-four thousand, one hundred".