103465440 has 144 divisors (see below), whose sum is σ = 380304288. Its totient is φ = 25463808.

The previous prime is 103465423. The next prime is 103465441. The reversal of 103465440 is 44564301.

103465440 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 654 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103465441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15957 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (2641002).

Almost surely, 2^103465440 is an apocalyptic number.

103465440 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 103465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190152144).

103465440 is an abundant number, since it is smaller than the sum of its proper divisors (276838848).

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

103465440 is a wasteful number, since it uses less digits than its factorization.

103465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 103465440 is about 10171.7963015389. The cubic root of 103465440 is about 469.4598290951.

The spelling of 103465440 in words is "one hundred three million, four hundred sixty-five thousand, four hundred forty".