103648896 has 160 divisors (see below), whose sum is σ = 332616900. Its totient is φ = 31850496.

The previous prime is 103648873. The next prime is 103648901. The reversal of 103648896 is 698846301.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 6350400 = 9864^2 + 2520^2 .

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 19 ways as a sum of consecutive naturals, for example, 134400 + ... + 135168.

Almost surely, 2^103648896 is an apocalyptic number.

103648896 is a gapful number since it is divisible by the number (16) 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 103648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166308450).

103648896 is an abundant number, since it is smaller than the sum of its proper divisors (228968004).

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

103648896 is an equidigital number, since it uses as much as digits as its factorization.

103648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 103648896 is about 10180.8101838704. The cubic root of 103648896 is about 469.7371338299.

The spelling of 103648896 in words is "one hundred three million, six hundred forty-eight thousand, eight hundred ninety-six".