100527648 has 96 divisors (see below), whose sum is σ = 287179200. Its totient is φ = 30606336.

The previous prime is 100527629. The next prime is 100527649. The reversal of 100527648 is 846725001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100527649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135663 + ... + 136401.

It is an arithmetic number, because the mean of its divisors is an integer number (2991450).

Almost surely, 2^100527648 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 100527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143589600).

100527648 is an abundant number, since it is smaller than the sum of its proper divisors (186651552).

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

100527648 is a wasteful number, since it uses less digits than its factorization.

100527648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 100527648 is about 10026.3476899617. The cubic root of 100527648 is about 464.9738267151.

The spelling of 100527648 in words is "one hundred million, five hundred twenty-seven thousand, six hundred forty-eight".