103520400 has 120 divisors (see below), whose sum is σ = 333874464. Its totient is φ = 27417600.

The previous prime is 103520387. The next prime is 103520407. The reversal of 103520400 is 4025301.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103520400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103520407) 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, 337047 + ... + 337353.

Almost surely, 2^103520400 is an apocalyptic number.

103520400 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 103520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166937232).

103520400 is an abundant number, since it is smaller than the sum of its proper divisors (230354064).

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

103520400 is a wasteful number, since it uses less digits than its factorization.

103520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 103520400 is about 10174.4975305909. The cubic root of 103520400 is about 469.5429387951.

Adding to 103520400 its reverse (4025301), we get a palindrome (107545701).

The spelling of 103520400 in words is "one hundred three million, five hundred twenty thousand, four hundred".