103784778240 has 800 divisors, whose sum is σ = 398573239680. Its totient is φ = 22897459200.

The previous prime is 103784778233. The next prime is 103784778277. The reversal of 103784778240 is 42877487301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1461757405 + ... + 1461757475.

Almost surely, 2^103784778240 is an apocalyptic number.

103784778240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103784778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199286619840).

103784778240 is an abundant number, since it is smaller than the sum of its proper divisors (294788461440).

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

103784778240 is an frugal number, since it uses more digits than its factorization.

103784778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 103784778240 in words is "one hundred three billion, seven hundred eighty-four million, seven hundred seventy-eight thousand, two hundred forty".