103778317800 has 240 divisors, whose sum is σ = 370181163660. Its totient is φ = 26926110720.

The previous prime is 103778317789. The next prime is 103778317901. The reversal of 103778317800 is 8713877301.

It can be written as a sum of positive squares in 6 ways, for example, as 92965229604 + 10813088196 = 304902^2 + 103986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 512832 + ... + 685968.

Almost surely, 2^103778317800 is an apocalyptic number.

103778317800 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 103778317800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185090581830).

103778317800 is an abundant number, since it is smaller than the sum of its proper divisors (266402845860).

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

103778317800 is a wasteful number, since it uses less digits than its factorization.

103778317800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173202 (or 173184 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 103778317800 in words is "one hundred three billion, seven hundred seventy-eight million, three hundred seventeen thousand, eight hundred".