100727000 has 64 divisors (see below), whose sum is σ = 257156640. Its totient is φ = 36624000.

The previous prime is 100726993. The next prime is 100727017. The reversal of 100727000 is 727001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100727000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6422 + ... + 15578.

Almost surely, 2^100727000 is an apocalyptic number.

100727000 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 100727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128578320).

100727000 is an abundant number, since it is smaller than the sum of its proper divisors (156429640).

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

100727000 is a wasteful number, since it uses less digits than its factorization.

100727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 100727000 is about 10036.2841729397. The cubic root of 100727000 is about 465.2809802177.

Subtracting from 100727000 its reverse (727001), we obtain a palindrome (99999999).

The spelling of 100727000 in words is "one hundred million, seven hundred twenty-seven thousand".