103627009009440 has 5760 divisors, whose sum is σ = 502158453350400. Its totient is φ = 19910302433280.

The previous prime is 103627009009439. The next prime is 103627009009441. The reversal of 103627009009440 is 44900900726301.

It is a happy number.

103627009009440 is a `hidden beast` number, since 10 + 3 + 627 + 0 + 0 + 9 + 0 + 0 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103627009009439) and next prime (103627009009441).

It is a super-3 number, since 3×103627009009440³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (103627009009441) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 273422187171 + ... + 273422187549.

It is an arithmetic number, because the mean of its divisors is an integer number (87180287040).

Almost surely, 2^{103627009009440} is an apocalyptic number.

103627009009440 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 103627009009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251079226675200).

103627009009440 is an abundant number, since it is smaller than the sum of its proper divisors (398531444340960).

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

103627009009440 is a wasteful number, since it uses less digits than its factorization.

103627009009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 103627009009440 in words is "one hundred three trillion, six hundred twenty-seven billion, nine million, nine thousand, four hundred forty".