103168800 has 432 divisors, whose sum is σ = 438721920. Its totient is φ = 22302720.

The previous prime is 103168789. The next prime is 103168829. The reversal of 103168800 is 8861301.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1159156 + ... + 1159244.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^103168800 is an apocalyptic number.

103168800 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 103168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

103168800 is an abundant number, since it is smaller than the sum of its proper divisors (335553120).

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

103168800 is a wasteful number, since it uses less digits than its factorization.

103168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 103168800 is about 10157.2043397778. The cubic root of 103168800 is about 469.0107455981.

The spelling of 103168800 in words is "one hundred three million, one hundred sixty-eight thousand, eight hundred".