103904064 has 252 divisors, whose sum is σ = 350593152. Its totient is φ = 29145600.

The previous prime is 103904057. The next prime is 103904081. The reversal of 103904064 is 460409301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3351729 + ... + 3351759.

Almost surely, 2^103904064 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 103904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175296576).

103904064 is an abundant number, since it is smaller than the sum of its proper divisors (246689088).

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

103904064 is a wasteful number, since it uses less digits than its factorization.

103904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103904064 is about 10193.3342925659. The cubic root of 103904064 is about 470.1222920041.

The spelling of 103904064 in words is "one hundred three million, nine hundred four thousand, sixty-four".