103818680000 has 280 divisors, whose sum is σ = 295180512000. Its totient is φ = 35478144000.

The previous prime is 103818679997. The next prime is 103818680003. The reversal of 103818680000 is 86818301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103818679997) and next prime (103818680003).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (103818680003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167719691 + ... + 167720309.

Almost surely, 2^103818680000 is an apocalyptic number.

103818680000 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 103818680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147590256000).

103818680000 is an abundant number, since it is smaller than the sum of its proper divisors (191361832000).

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

103818680000 is an frugal number, since it uses more digits than its factorization.

103818680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 103818680000 in words is "one hundred three billion, eight hundred eighteen million, six hundred eighty thousand".