103123440 has 360 divisors, whose sum is σ = 418991040. Its totient is φ = 22643712.

The previous prime is 103123399. The next prime is 103123549. The reversal of 103123440 is 44321301.

103123440 is a `hidden beast` number, since 10 + 312 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305321 + ... + 1305399.

It is an arithmetic number, because the mean of its divisors is an integer number (1163864).

Almost surely, 2^103123440 is an apocalyptic number.

103123440 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 103123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209495520).

103123440 is an abundant number, since it is smaller than the sum of its proper divisors (315867600).

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

103123440 is a wasteful number, since it uses less digits than its factorization.

103123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103123440 is about 10154.9711964141. The cubic root of 103123440 is about 468.9419992134.

Adding to 103123440 its reverse (44321301), we get a palindrome (147444741).

The spelling of 103123440 in words is "one hundred three million, one hundred twenty-three thousand, four hundred forty".