103661043616 has 96 divisors (see below), whose sum is σ = 232835193360. Its totient is φ = 45004947456.

The previous prime is 103661043613. The next prime is 103661043643. The reversal of 103661043616 is 616340166301.

It can be written as a sum of positive squares in 8 ways, for example, as 12275753616 + 91385290000 = 110796^2 + 302300^2 .

It is a super-2 number, since 2×103661043616² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103661043613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20994300 + ... + 20999236.

Almost surely, 2^103661043616 is an apocalyptic number.

103661043616 is a gapful number since it is divisible by the number (16) 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 103661043616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116417596680).

103661043616 is an abundant number, since it is smaller than the sum of its proper divisors (129174149744).

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

103661043616 is a wasteful number, since it uses less digits than its factorization.

103661043616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 103661043616 in words is "one hundred three billion, six hundred sixty-one million, forty-three thousand, six hundred sixteen".