103432560 has 320 divisors, whose sum is σ = 415687680. Its totient is φ = 20643840.

The previous prime is 103432559. The next prime is 103432577. The reversal of 103432560 is 65234301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103432560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535824 + ... + 536016.

It is an arithmetic number, because the mean of its divisors is an integer number (1299024).

Almost surely, 2^103432560 is an apocalyptic number.

103432560 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 103432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207843840).

103432560 is an abundant number, since it is smaller than the sum of its proper divisors (312255120).

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

103432560 is a wasteful number, since it uses less digits than its factorization.

103432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 103432560 is about 10170.1799394111. The cubic root of 103432560 is about 469.4100943735.

Adding to 103432560 its reverse (65234301), we get a palindrome (168666861).

The spelling of 103432560 in words is "one hundred three million, four hundred thirty-two thousand, five hundred sixty".