103079215008 has 768 divisors, whose sum is σ = 390664028160. Its totient is φ = 25660800000.

The previous prime is 103079215007. The next prime is 103079215051. The reversal of 103079215008 is 800512970301.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (103079215007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311417403 + ... + 311417733.

It is an arithmetic number, because the mean of its divisors is an integer number (508677120).

Almost surely, 2^103079215008 is an apocalyptic number.

103079215008 is a gapful number since it is divisible by the number (18) 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 103079215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195332014080).

103079215008 is an abundant number, since it is smaller than the sum of its proper divisors (287584813152).

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

103079215008 is a wasteful number, since it uses less digits than its factorization.

103079215008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 103079215008 in words is "one hundred three billion, seventy-nine million, two hundred fifteen thousand, eight".