103611607216 has 80 divisors (see below), whose sum is σ = 218167536384. Its totient is φ = 47385015552.

The previous prime is 103611607153. The next prime is 103611607249. The reversal of 103611607216 is 612706116301.

It is a super-3 number, since 3×103611607216³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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, 11760285 + ... + 11769091.

Almost surely, 2^103611607216 is an apocalyptic number.

103611607216 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 103611607216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109083768192).

103611607216 is an abundant number, since it is smaller than the sum of its proper divisors (114555929168).

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

103611607216 is a wasteful number, since it uses less digits than its factorization.

103611607216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 103611607216 in words is "one hundred three billion, six hundred eleven million, six hundred seven thousand, two hundred sixteen".