103288366080 has 352 divisors, whose sum is σ = 388669294080. Its totient is φ = 25922764800.

The previous prime is 103288366079. The next prime is 103288366091. The reversal of 103288366080 is 80663882301.

103288366080 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 8 + 8 + 36 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328105 + ... + 2372055.

Almost surely, 2^103288366080 is an apocalyptic number.

103288366080 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 103288366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194334647040).

103288366080 is an abundant number, since it is smaller than the sum of its proper divisors (285380928000).

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

103288366080 is a wasteful number, since it uses less digits than its factorization.

103288366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44002 (or 43978 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 103288366080 in words is "one hundred three billion, two hundred eighty-eight million, three hundred sixty-six thousand, eighty".