103963440 has 160 divisors (see below), whose sum is σ = 387832320. Its totient is φ = 22505472.

The previous prime is 103963411. The next prime is 103963471. The reversal of 103963440 is 44369301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103963398 and 103963407.

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, 30292 + ... + 33548.

It is an arithmetic number, because the mean of its divisors is an integer number (2423952).

Almost surely, 2^103963440 is an apocalyptic number.

103963440 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 103963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193916160).

103963440 is an abundant number, since it is smaller than the sum of its proper divisors (283868880).

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

103963440 is a wasteful number, since it uses less digits than its factorization.

103963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 103963440 is about 10196.2463681494. The cubic root of 103963440 is about 470.2118254471.

The spelling of 103963440 in words is "one hundred three million, nine hundred sixty-three thousand, four hundred forty".