103378800 has 240 divisors, whose sum is σ = 391657472. Its totient is φ = 22809600.

The previous prime is 103378763. The next prime is 103378801. The reversal of 103378800 is 8873301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103378801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260202 + ... + 260598.

Almost surely, 2^103378800 is an apocalyptic number.

103378800 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 103378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195828736).

103378800 is an abundant number, since it is smaller than the sum of its proper divisors (288278672).

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

103378800 is a wasteful number, since it uses less digits than its factorization.

103378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 103378800 is about 10167.5365748051. The cubic root of 103378800 is about 469.3287535782.

The spelling of 103378800 in words is "one hundred three million, three hundred seventy-eight thousand, eight hundred".