105883913903616 has 480 divisors, whose sum is σ = 323659876370688. Its totient is φ = 33257237544960.

The previous prime is 105883913903591. The next prime is 105883913903629. The reversal of 105883913903616 is 616309319388501.

105883913903616 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 3 + 9 + 1 + 3 + 9 + 0 + 3 + 616 = 666.

It is a super-2 number, since 2×105883913903616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1902067015 + ... + 1902122681.

Almost surely, 2^{105883913903616} is an apocalyptic number.

105883913903616 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 105883913903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161829938185344).

105883913903616 is an abundant number, since it is smaller than the sum of its proper divisors (217775962467072).

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

105883913903616 is a wasteful number, since it uses less digits than its factorization.

105883913903616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55982 (or 55963 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 105883913903616 in words is "one hundred five trillion, eight hundred eighty-three billion, nine hundred thirteen million, nine hundred three thousand, six hundred sixteen".