103778560 has 36 divisors (see below), whose sum is σ = 248585148. Its totient is φ = 41510912.

The previous prime is 103778537. The next prime is 103778603. The reversal of 103778560 is 65877301.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 35617024 = 8256^2 + 5968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39259 + ... + 41818.

It is an arithmetic number, because the mean of its divisors is an integer number (6905143).

Almost surely, 2^103778560 is an apocalyptic number.

103778560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103778560 is an abundant number, since it is smaller than the sum of its proper divisors (144806588).

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

103778560 is an frugal number, since it uses more digits than its factorization.

103778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81098 (or 81084 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 103778560 is about 10187.1762525245. The cubic root of 103778560 is about 469.9329314288.

It can be divided in two parts, 1037 and 78560, that added together give a palindrome (79597).

The spelling of 103778560 in words is "one hundred three million, seven hundred seventy-eight thousand, five hundred sixty".