100023144 has 128 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 28456704.

The previous prime is 100023139. The next prime is 100023221. The reversal of 100023144 is 441320001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278437 + ... + 278795.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^100023144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

100023144 is an abundant number, since it is smaller than the sum of its proper divisors (190280856).

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

100023144 is a wasteful number, since it uses less digits than its factorization.

100023144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

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

The square root of 100023144 is about 10001.1571330522. The cubic root of 100023144 is about 464.1946889098.

Adding to 100023144 its reverse (441320001), we get a palindrome (541343145).

The spelling of 100023144 in words is "one hundred million, twenty-three thousand, one hundred forty-four".