103182508960 has 96 divisors (see below), whose sum is σ = 251024707584. Its totient is φ = 40055040000.

The previous prime is 103182508931. The next prime is 103182509039. The reversal of 103182508960 is 69805281301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211785 + ... + 1294135.

It is an arithmetic number, because the mean of its divisors is an integer number (2614840704).

Almost surely, 2^103182508960 is an apocalyptic number.

103182508960 is a gapful number since it is divisible by the number (10) 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 103182508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125512353792).

103182508960 is an abundant number, since it is smaller than the sum of its proper divisors (147842198624).

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

103182508960 is a wasteful number, since it uses less digits than its factorization.

103182508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82598 (or 82590 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 103182508960 in words is "one hundred three billion, one hundred eighty-two million, five hundred eight thousand, nine hundred sixty".