103052320 has 96 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 34944000.

The previous prime is 103052309. The next prime is 103052377. The reversal of 103052320 is 23250301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 103052294 and 103052303.

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, 112665 + ... + 113575.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 2^103052320 is an apocalyptic number.

103052320 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 103052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

103052320 is an abundant number, since it is smaller than the sum of its proper divisors (178252256).

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

103052320 is a wasteful number, since it uses less digits than its factorization.

103052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 103052320 is about 10151.4688592341. The cubic root of 103052320 is about 468.8341710775.

The spelling of 103052320 in words is "one hundred three million, fifty-two thousand, three hundred twenty".