103416000 has 224 divisors, whose sum is σ = 355031040. Its totient is φ = 26496000.

The previous prime is 103415959. The next prime is 103416007. The reversal of 103416000 is 614301.

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

It is not an unprimeable number, because it can be changed into a prime (103416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743931 + ... + 744069.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^103416000 is an apocalyptic number.

103416000 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 103416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

103416000 is an abundant number, since it is smaller than the sum of its proper divisors (251615040).

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

103416000 is a wasteful number, since it uses less digits than its factorization.

103416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103416000 is about 10169.3657619342. The cubic root of 103416000 is about 469.3850415079.

The spelling of 103416000 in words is "one hundred three million, four hundred sixteen thousand".