103488672 has 48 divisors (see below), whose sum is σ = 310468032. Its totient is φ = 29568000.

The previous prime is 103488653. The next prime is 103488683. The reversal of 103488672 is 276884301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103488672.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76329 + ... + 77672.

It is an arithmetic number, because the mean of its divisors is an integer number (6468084).

Almost surely, 2^103488672 is an apocalyptic number.

103488672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103488672 is an abundant number, since it is smaller than the sum of its proper divisors (206979360).

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

103488672 is a wasteful number, since it uses less digits than its factorization.

103488672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154021 (or 154013 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 103488672 is about 10172.9382186269. The cubic root of 103488672 is about 469.4949637724.

The spelling of 103488672 in words is "one hundred three million, four hundred eighty-eight thousand, six hundred seventy-two".