103639917960 has 288 divisors, whose sum is σ = 361078099200. Its totient is φ = 26743685760.

The previous prime is 103639917923. The next prime is 103639918001. The reversal of 103639917960 is 69719936301.

It is a super-3 number, since 3×103639917960³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103639917897 and 103639917906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8129271 + ... + 8142009.

It is an arithmetic number, because the mean of its divisors is an integer number (1253743400).

Almost surely, 2^103639917960 is an apocalyptic number.

103639917960 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 103639917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180539049600).

103639917960 is an abundant number, since it is smaller than the sum of its proper divisors (257438181240).

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

103639917960 is an equidigital number, since it uses as much as digits as its factorization.

103639917960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 103639917960 in words is "one hundred three billion, six hundred thirty-nine million, nine hundred seventeen thousand, nine hundred sixty".