103768320 has 144 divisors (see below), whose sum is σ = 337603392. Its totient is φ = 27156480.

The previous prime is 103768319. The next prime is 103768337. The reversal of 103768320 is 23867301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234019 + ... + 234461.

It is an arithmetic number, because the mean of its divisors is an integer number (2344468).

Almost surely, 2^103768320 is an apocalyptic number.

103768320 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 103768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168801696).

103768320 is an abundant number, since it is smaller than the sum of its proper divisors (233835072).

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

103768320 is an equidigital number, since it uses as much as digits as its factorization.

103768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 103768320 is about 10186.6736474671. The cubic root of 103768320 is about 469.9174745704.

The spelling of 103768320 in words is "one hundred three million, seven hundred sixty-eight thousand, three hundred twenty".