103440960 has 252 divisors, whose sum is σ = 414447228. Its totient is φ = 23611392.

The previous prime is 103440923. The next prime is 103440979. The reversal of 103440960 is 69044301.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 27123264 = 8736^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140754 + ... + 141486.

Almost surely, 2^103440960 is an apocalyptic number.

103440960 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 103440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207223614).

103440960 is an abundant number, since it is smaller than the sum of its proper divisors (311006268).

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

103440960 is a wasteful number, since it uses less digits than its factorization.

103440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103440960 is about 10170.5929030711. The cubic root of 103440960 is about 469.4228013265.

The spelling of 103440960 in words is "one hundred three million, four hundred forty thousand, nine hundred sixty".