9780103008 has 216 divisors, whose sum is σ = 30823104312. Its totient is φ = 2938650624.

The previous prime is 9780103007. The next prime is 9780103027. The reversal of 9780103008 is 8003010879.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9780103007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2090560 + ... + 2095232.

It is an arithmetic number, because the mean of its divisors is an integer number (142699557).

Almost surely, 2^9780103008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9780103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411552156).

9780103008 is an abundant number, since it is smaller than the sum of its proper divisors (21043001304).

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

9780103008 is a wasteful number, since it uses less digits than its factorization.

9780103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9780103008 is about 98894.4033199048. The cubic root of 9780103008 is about 2138.5257123752.

The spelling of 9780103008 in words is "nine billion, seven hundred eighty million, one hundred three thousand, eight".