100363728 has 40 divisors (see below), whose sum is σ = 259705600. Its totient is φ = 33398784.

The previous prime is 100363717. The next prime is 100363729. The reversal of 100363728 is 827363001.

It is a junction number, because it is equal to n+sod(n) for n = 100363695 and 100363704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100363729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35553 + ... + 38271.

It is an arithmetic number, because the mean of its divisors is an integer number (6492640).

Almost surely, 2^100363728 is an apocalyptic number.

It is an amenable number.

100363728 is an abundant number, since it is smaller than the sum of its proper divisors (159341872).

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

100363728 is a wasteful number, since it uses less digits than its factorization.

100363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 100363728 is about 10018.1698927499. The cubic root of 100363728 is about 464.7209610409.

The spelling of 100363728 in words is "one hundred million, three hundred sixty-three thousand, seven hundred twenty-eight".