103536105696 has 72 divisors (see below), whose sum is σ = 294468599880. Its totient is φ = 34507604736.

The previous prime is 103536105683. The next prime is 103536105709. The reversal of 103536105696 is 696501635301.

103536105696 is a `hidden beast` number, since 1 + 0 + 3 + 536 + 105 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (103536105683) and next prime (103536105709).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2839710 + ... + 2875938.

It is an arithmetic number, because the mean of its divisors is an integer number (4089841665).

Almost surely, 2^103536105696 is an apocalyptic number.

103536105696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103536105696 is an abundant number, since it is smaller than the sum of its proper divisors (190932494184).

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

103536105696 is a wasteful number, since it uses less digits than its factorization.

103536105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46168 (or 46157 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 103536105696 in words is "one hundred three billion, five hundred thirty-six million, one hundred five thousand, six hundred ninety-six".