103118400000 has 1920 divisors, whose sum is σ = 491008573440. Its totient is φ = 20736000000.

The previous prime is 103118399981. The next prime is 103118400041. The reversal of 103118400000 is 4811301.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3326399985 + ... + 3326400015.

It is an arithmetic number, because the mean of its divisors is an integer number (255733632).

Almost surely, 2^103118400000 is an apocalyptic number.

103118400000 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 103118400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245504286720).

103118400000 is an abundant number, since it is smaller than the sum of its proper divisors (387890173440).

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

103118400000 is an frugal number, since it uses more digits than its factorization.

103118400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 103118400000 in words is "one hundred three billion, one hundred eighteen million, four hundred thousand".