100728144 has 240 divisors, whose sum is σ = 332478720. Its totient is φ = 29145600.

The previous prime is 100728113. The next prime is 100728149. The reversal of 100728144 is 441827001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100728149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143129 + ... + 2143175.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^100728144 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 100728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

100728144 is an abundant number, since it is smaller than the sum of its proper divisors (231750576).

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

100728144 is a wasteful number, since it uses less digits than its factorization.

100728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100728144 is about 10036.3411659828. The cubic root of 100728144 is about 465.2827416767.

The spelling of 100728144 in words is "one hundred million, seven hundred twenty-eight thousand, one hundred forty-four".