103278240 has 240 divisors, whose sum is σ = 393163848. Its totient is φ = 25380864.

The previous prime is 103278239. The next prime is 103278323. The reversal of 103278240 is 42872301.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 75272976 = 5292^2 + 8676^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168174 + ... + 168786.

Almost surely, 2^103278240 is an apocalyptic number.

103278240 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 103278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196581924).

103278240 is an abundant number, since it is smaller than the sum of its proper divisors (289885608).

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

103278240 is a wasteful number, since it uses less digits than its factorization.

103278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 103278240 is about 10162.5902210017. The cubic root of 103278240 is about 469.1765269751.

The spelling of 103278240 in words is "one hundred three million, two hundred seventy-eight thousand, two hundred forty".