103778064 has 160 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 30025728.

The previous prime is 103778039. The next prime is 103778083. The reversal of 103778064 is 460877301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94929 + ... + 96015.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^103778064 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 103778064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

103778064 is an abundant number, since it is smaller than the sum of its proper divisors (236200176).

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

103778064 is a wasteful number, since it uses less digits than its factorization.

103778064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 103778064 is about 10187.1519081635. The cubic root of 103778064 is about 469.9321827606.

The spelling of 103778064 in words is "one hundred three million, seven hundred seventy-eight thousand, sixty-four".