10023044100 has 72 divisors (see below), whose sum is σ = 29087909088. Its totient is φ = 2664710400.

The previous prime is 10023044069. The next prime is 10023044113. The reversal of 10023044100 is 144032001.

It is a super-2 number, since 2×10023044100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10023044100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48832 + ... + 149768.

Almost surely, 2^10023044100 is an apocalyptic number.

10023044100 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 10023044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543954544).

10023044100 is an abundant number, since it is smaller than the sum of its proper divisors (19064864988).

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

10023044100 is a wasteful number, since it uses less digits than its factorization.

10023044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101285 (or 101278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10023044100 its reverse (144032001), we get a palindrome (10167076101).

The spelling of 10023044100 in words is "ten billion, twenty-three million, forty-four thousand, one hundred".