103068576 has 72 divisors (see below), whose sum is σ = 315658980. Its totient is φ = 31712256.

The previous prime is 103068571. The next prime is 103068577. The reversal of 103068576 is 675860301.

It can be written as a sum of positive squares in 2 ways, for example, as 95648400 + 7420176 = 9780^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103068576.

It is not an unprimeable number, because it can be changed into a prime (103068571) 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 11 ways as a sum of consecutive naturals, for example, 10021 + ... + 17508.

Almost surely, 2^103068576 is an apocalyptic number.

103068576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103068576 is an abundant number, since it is smaller than the sum of its proper divisors (212590404).

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

103068576 is a wasteful number, since it uses less digits than its factorization.

103068576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 103068576 is about 10152.2694999690. The cubic root of 103068576 is about 468.8588218813.

The spelling of 103068576 in words is "one hundred three million, sixty-eight thousand, five hundred seventy-six".