103632683556440 has 128 divisors (see below), whose sum is σ = 243657723801600. Its totient is φ = 39594384023040.

The previous prime is 103632683556377. The next prime is 103632683556511. The reversal of 103632683556440 is 44655386236301.

It is a super-3 number, since 3×103632683556440³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107573055 + ... + 2107622225.

It is an arithmetic number, because the mean of its divisors is an integer number (1903575967200).

Almost surely, 2^{103632683556440} is an apocalyptic number.

103632683556440 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 103632683556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121828861900800).

103632683556440 is an abundant number, since it is smaller than the sum of its proper divisors (140025040245160).

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

103632683556440 is a wasteful number, since it uses less digits than its factorization.

103632683556440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52417 (or 52413 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 56.

The spelling of 103632683556440 in words is "one hundred three trillion, six hundred thirty-two billion, six hundred eighty-three million, five hundred fifty-six thousand, four hundred forty".