103653945 has 64 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 52876800.

The previous prime is 103653943. The next prime is 103653959. The reversal of 103653945 is 549356301.

It is not a de Polignac number, because 103653945 - 2¹ = 103653943 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103653943) 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 63 ways as a sum of consecutive naturals, for example, 337482 + ... + 337788.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^103653945 is an apocalyptic number.

103653945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103653945 is a deficient number, since it is larger than the sum of its proper divisors (88833735).

103653945 is a wasteful number, since it uses less digits than its factorization.

103653945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 103653945 is about 10181.0581473637. The cubic root of 103653945 is about 469.7447610676.

The spelling of 103653945 in words is "one hundred three million, six hundred fifty-three thousand, nine hundred forty-five".