103424000 has 112 divisors (see below), whose sum is σ = 260686296. Its totient is φ = 40960000.

The previous prime is 103423997. The next prime is 103424003. The reversal of 103424000 is 424301.

It is an interprime number because it is at equal distance from previous prime (103423997) and next prime (103424003).

It can be written as a sum of positive squares in 4 ways, for example, as 59969536 + 43454464 = 7744^2 + 6592^2 .

It is not an unprimeable number, because it can be changed into a prime (103424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023950 + ... + 1024050.

Almost surely, 2^103424000 is an apocalyptic number.

103424000 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 103424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130343148).

103424000 is an abundant number, since it is smaller than the sum of its proper divisors (157262296).

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

103424000 is an frugal number, since it uses more digits than its factorization.

103424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 103424000 is about 10169.7590925253. The cubic root of 103424000 is about 469.3971446754.

Adding to 103424000 its reverse (424301), we get a palindrome (103848301).

The spelling of 103424000 in words is "one hundred three million, four hundred twenty-four thousand".