103687672320 has 240 divisors, whose sum is σ = 372401789760. Its totient is φ = 27649880064.

The previous prime is 103687672301. The next prime is 103687672337. The reversal of 103687672320 is 23276786301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103687672320² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538741 + ... + 705419.

It is an arithmetic number, because the mean of its divisors is an integer number (1551674124).

Almost surely, 2^103687672320 is an apocalyptic number.

103687672320 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 103687672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186200894880).

103687672320 is an abundant number, since it is smaller than the sum of its proper divisors (268714117440).

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

103687672320 is an frugal number, since it uses more digits than its factorization.

103687672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166717 (or 166689 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 103687672320 in words is "one hundred three billion, six hundred eighty-seven million, six hundred seventy-two thousand, three hundred twenty".