103720780800 has 2112 divisors, whose sum is σ = 501482903040. Its totient is φ = 20384317440.

The previous prime is 103720780799. The next prime is 103720780811. The reversal of 103720780800 is 8087027301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069286352 + ... + 1069286448.

Almost surely, 2^103720780800 is an apocalyptic number.

103720780800 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 103720780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250741451520).

103720780800 is an abundant number, since it is smaller than the sum of its proper divisors (397762122240).

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

103720780800 is a wasteful number, since it uses less digits than its factorization.

103720780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 103720780800 in words is "one hundred three billion, seven hundred twenty million, seven hundred eighty thousand, eight hundred".