103390947504 has 320 divisors, whose sum is σ = 337670054400. Its totient is φ = 30026308608.

The previous prime is 103390947493. The next prime is 103390947511. The reversal of 103390947504 is 405749093301.

103390947504 is a `hidden beast` number, since 10 + 3 + 3 + 90 + 9 + 47 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103390947504.

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 63 ways as a sum of consecutive naturals, for example, 31262619 + ... + 31265925.

It is an arithmetic number, because the mean of its divisors is an integer number (1055218920).

Almost surely, 2^103390947504 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 103390947504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168835027200).

103390947504 is an abundant number, since it is smaller than the sum of its proper divisors (234279106896).

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

103390947504 is a wasteful number, since it uses less digits than its factorization.

103390947504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 103390947504 in words is "one hundred three billion, three hundred ninety million, nine hundred forty-seven thousand, five hundred four".