103404768 has 48 divisors (see below), whose sum is σ = 272892816. Its totient is φ = 34283520.

The previous prime is 103404713. The next prime is 103404773. The reversal of 103404768 is 867404301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15738 + ... + 21318.

It is an arithmetic number, because the mean of its divisors is an integer number (5685267).

Almost surely, 2^103404768 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 103404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136446408).

103404768 is an abundant number, since it is smaller than the sum of its proper divisors (169488048).

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

103404768 is a wasteful number, since it uses less digits than its factorization.

103404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 103404768 is about 10168.8135001090. The cubic root of 103404768 is about 469.3680476073.

The spelling of 103404768 in words is "one hundred three million, four hundred four thousand, seven hundred sixty-eight".