103607577216 has 384 divisors, whose sum is σ = 353011538880. Its totient is φ = 28753920000.

The previous prime is 103607577181. The next prime is 103607577247. The reversal of 103607577216 is 612775706301.

103607577216 is a `hidden beast` number, since 1 + 0 + 3 + 60 + 7 + 577 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×103607577216³ (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21578016 + ... + 21582816.

Almost surely, 2^103607577216 is an apocalyptic number.

103607577216 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 103607577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176505769440).

103607577216 is an abundant number, since it is smaller than the sum of its proper divisors (249403961664).

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

103607577216 is a wasteful number, since it uses less digits than its factorization.

103607577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 103607577216 in words is "one hundred three billion, six hundred seven million, five hundred seventy-seven thousand, two hundred sixteen".