100727648 has 24 divisors (see below), whose sum is σ = 226637712. Its totient is φ = 43168896.

The previous prime is 100727647. The next prime is 100727659. The reversal of 100727648 is 846727001.

It is a happy number.

It is a super-2 number, since 2×100727648² = 20292118143223808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100727647) 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 3 ways as a sum of consecutive naturals, for example, 224615 + ... + 225062.

It is an arithmetic number, because the mean of its divisors is an integer number (9443238).

Almost surely, 2^100727648 is an apocalyptic number.

It is an amenable number.

100727648 is an abundant number, since it is smaller than the sum of its proper divisors (125910064).

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

100727648 is an equidigital number, since it uses as much as digits as its factorization.

100727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449694 (or 449686 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 100727648 is about 10036.3164557521. The cubic root of 100727648 is about 465.2819779688.

The spelling of 100727648 in words is "one hundred million, seven hundred twenty-seven thousand, six hundred forty-eight".