103078800 has 360 divisors, whose sum is σ = 413768160. Its totient is φ = 23500800.

The previous prime is 103078753. The next prime is 103078823. The reversal of 103078800 is 8870301.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752332 + ... + 752468.

It is an arithmetic number, because the mean of its divisors is an integer number (1149356).

Almost surely, 2^103078800 is an apocalyptic number.

103078800 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 103078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206884080).

103078800 is an abundant number, since it is smaller than the sum of its proper divisors (310689360).

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

103078800 is a wasteful number, since it uses less digits than its factorization.

103078800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 103078800 is about 10152.7730202147. The cubic root of 103078800 is about 468.8743243565.

The spelling of 103078800 in words is "one hundred three million, seventy-eight thousand, eight hundred".