103788387072 has 216 divisors, whose sum is σ = 326667664960. Its totient is φ = 32774906880.

The previous prime is 103788386981. The next prime is 103788387089. The reversal of 103788387072 is 270783887301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138047 + ... + 1225857.

Almost surely, 2^103788387072 is an apocalyptic number.

103788387072 is a gapful number since it is divisible by the number (12) 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 103788387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163333832480).

103788387072 is an abundant number, since it is smaller than the sum of its proper divisors (222879277888).

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

103788387072 is an frugal number, since it uses more digits than its factorization.

103788387072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87861 (or 87835 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 103788387072 in words is "one hundred three billion, seven hundred eighty-eight million, three hundred eighty-seven thousand, seventy-two".