103760543232 has 240 divisors, whose sum is σ = 305441856720. Its totient is φ = 33900134400.

The previous prime is 103760543231. The next prime is 103760543279. The reversal of 103760543232 is 232345067301.

103760543232 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 605 + 43 + 2 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103760543231) 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 23 ways as a sum of consecutive naturals, for example, 117775432 + ... + 117776312.

It is an arithmetic number, because the mean of its divisors is an integer number (1272674403).

Almost surely, 2^103760543232 is an apocalyptic number.

103760543232 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 103760543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152720928360).

103760543232 is an abundant number, since it is smaller than the sum of its proper divisors (201681313488).

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

103760543232 is an equidigital number, since it uses as much as digits as its factorization.

103760543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 103760543232 in words is "one hundred three billion, seven hundred sixty million, five hundred forty-three thousand, two hundred thirty-two".