100053448 has 48 divisors (see below), whose sum is σ = 211318380. Its totient is φ = 44352000.

The previous prime is 100053433. The next prime is 100053491. The reversal of 100053448 is 844350001.

It can be written as a sum of positive squares in 2 ways, for example, as 62378404 + 37675044 = 7898^2 + 6138^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38428 + ... + 40948.

Almost surely, 2^100053448 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 100053448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105659190).

100053448 is an abundant number, since it is smaller than the sum of its proper divisors (111264932).

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

100053448 is a wasteful number, since it uses less digits than its factorization.

100053448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 100053448 is about 10002.6720430093. The cubic root of 100053448 is about 464.2415631795.

The spelling of 100053448 in words is "one hundred million, fifty-three thousand, four hundred forty-eight".