103200993 has 32 divisors (see below), whose sum is σ = 175281920. Its totient is φ = 58786560.

The previous prime is 103200991. The next prime is 103200997. The reversal of 103200993 is 399002301.

It is not a de Polignac number, because 103200993 - 2¹ = 103200991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103200991) 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 31 ways as a sum of consecutive naturals, for example, 78921 + ... + 80217.

It is an arithmetic number, because the mean of its divisors is an integer number (5477560).

Almost surely, 2^103200993 is an apocalyptic number.

It is an amenable number.

103200993 is a deficient number, since it is larger than the sum of its proper divisors (72080927).

103200993 is a wasteful number, since it uses less digits than its factorization.

103200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 103200993 is about 10158.7889534137. The cubic root of 103200993 is about 469.0595242105.

The spelling of 103200993 in words is "one hundred three million, two hundred thousand, nine hundred ninety-three".