103451200 has 168 divisors, whose sum is σ = 277794720. Its totient is φ = 37785600.

The previous prime is 103451191. The next prime is 103451203. The reversal of 103451200 is 2154301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103451203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246359 + ... + 1246441.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^103451200 is an apocalyptic number.

103451200 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 103451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

103451200 is an abundant number, since it is smaller than the sum of its proper divisors (174343520).

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

103451200 is a wasteful number, since it uses less digits than its factorization.

103451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 103451200 is about 10171.0963027591. The cubic root of 103451200 is about 469.4382907770.

The spelling of 103451200 in words is "one hundred three million, four hundred fifty-one thousand, two hundred".