103530672 has 120 divisors (see below), whose sum is σ = 333232640. Its totient is φ = 29393280.

The previous prime is 103530653. The next prime is 103530673. The reversal of 103530672 is 276035301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103530673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272979 + ... + 273357.

Almost surely, 2^103530672 is an apocalyptic number.

103530672 is a gapful number since it is divisible by the number (12) 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 103530672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166616320).

103530672 is an abundant number, since it is smaller than the sum of its proper divisors (229701968).

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

103530672 is a wasteful number, since it uses less digits than its factorization.

103530672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 103530672 is about 10175.0023095820. The cubic root of 103530672 is about 469.5584686989.

Adding to 103530672 its reverse (276035301), we get a palindrome (379565973).

The spelling of 103530672 in words is "one hundred three million, five hundred thirty thousand, six hundred seventy-two".