105000849915696 has 320 divisors, whose sum is σ = 348736612761600. Its totient is φ = 29626940899584.

The previous prime is 105000849915667. The next prime is 105000849915697. The reversal of 105000849915696 is 696519948000501.

105000849915696 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 0 + 8 + 499 + 1 + 56 + 96 = 666.

It is a super-3 number, since 3×105000849915696³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (105000849915697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637186305 + ... + 637351071.

It is an arithmetic number, because the mean of its divisors is an integer number (1089801914880).

Almost surely, 2^{105000849915696} is an apocalyptic number.

105000849915696 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 105000849915696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174368306380800).

105000849915696 is an abundant number, since it is smaller than the sum of its proper divisors (243735762845904).

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

105000849915696 is a wasteful number, since it uses less digits than its factorization.

105000849915696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167413 (or 167401 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 105000849915696 in words is "one hundred five trillion, eight hundred forty-nine million, nine hundred fifteen thousand, six hundred ninety-six".