103472960 has 56 divisors (see below), whose sum is σ = 251085096. Its totient is φ = 40601600.

The previous prime is 103472953. The next prime is 103472969. The reversal of 103472960 is 69274301.

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 79423744 = 4904^2 + 8912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103472969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13910 + ... + 20010.

Almost surely, 2^103472960 is an apocalyptic number.

103472960 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 103472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125542548).

103472960 is an abundant number, since it is smaller than the sum of its proper divisors (147612136).

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

103472960 is an equidigital number, since it uses as much as digits as its factorization.

103472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 103472960 is about 10172.1659443798. The cubic root of 103472960 is about 469.4712024657.

The spelling of 103472960 in words is "one hundred three million, four hundred seventy-two thousand, nine hundred sixty".