105640494575616 has 3120 divisors, whose sum is σ = 439145965488384. Its totient is φ = 24437293056000.

The previous prime is 105640494575599. The next prime is 105640494575621. The reversal of 105640494575616 is 616575494046501.

105640494575616 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 4 + 0 + 4 + 9 + 4 + 5 + 7 + 5 + 616 = 666.

It is a super-2 number, since 2×105640494575616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 319155572571 + ... + 319155572901.

Almost surely, 2^{105640494575616} is an apocalyptic number.

105640494575616 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 105640494575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219572982744192).

105640494575616 is an abundant number, since it is smaller than the sum of its proper divisors (333505470912768).

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

105640494575616 is a wasteful number, since it uses less digits than its factorization.

105640494575616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 105640494575616 in words is "one hundred five trillion, six hundred forty billion, four hundred ninety-four million, five hundred seventy-five thousand, six hundred sixteen".