103805350272 has 384 divisors, whose sum is σ = 339765753600. Its totient is φ = 30156779520.

The previous prime is 103805350213. The next prime is 103805350307. The reversal of 103805350272 is 272053508301.

It is a happy number.

103805350272 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 5 + 3 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×103805350272² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139710733 + ... + 139711475.

It is an arithmetic number, because the mean of its divisors is an integer number (884806650).

Almost surely, 2^103805350272 is an apocalyptic number.

103805350272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103805350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169882876800).

103805350272 is an abundant number, since it is smaller than the sum of its proper divisors (235960403328).

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

103805350272 is a wasteful number, since it uses less digits than its factorization.

103805350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 103805350272 its reverse (272053508301), we get a palindrome (375858858573).

The spelling of 103805350272 in words is "one hundred three billion, eight hundred five million, three hundred fifty thousand, two hundred seventy-two".