103201440 has 96 divisors (see below), whose sum is σ = 330039360. Its totient is φ = 27101184.

The previous prime is 103201433. The next prime is 103201457. The reversal of 103201440 is 44102301.

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

It is a super-3 number, since 3×103201440³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30556 + ... + 33764.

It is an arithmetic number, because the mean of its divisors is an integer number (3437910).

Almost surely, 2^103201440 is an apocalyptic number.

103201440 is a gapful number since it is divisible by the number (10) 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 103201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165019680).

103201440 is an abundant number, since it is smaller than the sum of its proper divisors (226837920).

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

103201440 is a wasteful number, since it uses less digits than its factorization.

103201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103201440 is about 10158.8109540438. The cubic root of 103201440 is about 469.0602014304.

Adding to 103201440 its reverse (44102301), we get a palindrome (147303741).

The spelling of 103201440 in words is "one hundred three million, two hundred one thousand, four hundred forty".