103144896 has 84 divisors (see below), whose sum is σ = 297087544. Its totient is φ = 34214400.

The previous prime is 103144891. The next prime is 103144919. The reversal of 103144896 is 698441301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103144896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103144891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190386 + ... + 190926.

Almost surely, 2^103144896 is an apocalyptic number.

103144896 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 103144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148543772).

103144896 is an abundant number, since it is smaller than the sum of its proper divisors (193942648).

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

103144896 is a wasteful number, since it uses less digits than its factorization.

103144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103144896 is about 10156.0275698720. The cubic root of 103144896 is about 468.9745198566.

The spelling of 103144896 in words is "one hundred three million, one hundred forty-four thousand, eight hundred ninety-six".