100605105600101 has 8 divisors (see below), whose sum is σ = 102955538066304. Its totient is φ = 98255163081600.

The previous prime is 100605105600079. The next prime is 100605105600121. The reversal of 100605105600101 is 101006501506001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100605105600101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100605105600121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122071436 + ... + 122892821.

It is an arithmetic number, because the mean of its divisors is an integer number (12869442258288).

Almost surely, 2^{100605105600101} is an apocalyptic number.

It is an amenable number.

100605105600101 is a deficient number, since it is larger than the sum of its proper divisors (2350432466203).

100605105600101 is an equidigital number, since it uses as much as digits as its factorization.

100605105600101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244973851.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 100605105600101 in words is "one hundred trillion, six hundred five billion, one hundred five million, six hundred thousand, one hundred one".