100656448 has 56 divisors (see below), whose sum is σ = 208437480. Its totient is φ = 48168960.

The previous prime is 100656443. The next prime is 100656461. The reversal of 100656448 is 844656001.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 88209664 = 3528^2 + 9392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100656443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358068 + ... + 358348.

Almost surely, 2^100656448 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 100656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104218740).

100656448 is an abundant number, since it is smaller than the sum of its proper divisors (107781032).

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

100656448 is a wasteful number, since it uses less digits than its factorization.

100656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 100656448 is about 10032.7687105803. The cubic root of 100656448 is about 465.1723229199.

The spelling of 100656448 in words is "one hundred million, six hundred fifty-six thousand, four hundred forty-eight".