103338209793 has 288 divisors, whose sum is σ = 192671418240. Its totient is φ = 48910417920.

The previous prime is 103338209773. The next prime is 103338209803. The reversal of 103338209793 is 397902833301.

It is not a de Polignac number, because 103338209793 - 2⁶ = 103338209729 is a prime.

It is a super-2 number, since 2×103338209793² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103338209773) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1065342321 + ... + 1065342417.

It is an arithmetic number, because the mean of its divisors is an integer number (668997980).

Almost surely, 2^103338209793 is an apocalyptic number.

103338209793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103338209793 is a deficient number, since it is larger than the sum of its proper divisors (89333208447).

103338209793 is a wasteful number, since it uses less digits than its factorization.

103338209793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 103338209793 in words is "one hundred three billion, three hundred thirty-eight million, two hundred nine thousand, seven hundred ninety-three".