100639728 has 180 divisors, whose sum is σ = 347321520. Its totient is φ = 27030528.

The previous prime is 100639727. The next prime is 100639729. The reversal of 100639728 is 827936001.

100639728 is a `hidden beast` number, since 10 + 0 + 639 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (100639727) and next prime (100639729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100639692 and 100639701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100639723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119533 + ... + 120371.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^100639728 is an apocalyptic number.

100639728 is a gapful number since it is divisible by the number (18) 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 100639728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

100639728 is an abundant number, since it is smaller than the sum of its proper divisors (246681792).

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

100639728 is a wasteful number, since it uses less digits than its factorization.

100639728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100639728 is about 10031.9354064906. The cubic root of 100639728 is about 465.1465649677.

It can be divided in two parts, 10063 and 9728, that added together give a palindrome (19791).

The spelling of 100639728 in words is "one hundred million, six hundred thirty-nine thousand, seven hundred twenty-eight".