100105500550601 has 32 divisors (see below), whose sum is σ = 123363259289088. Its totient is φ = 79103762472960.

The previous prime is 100105500550597. The next prime is 100105500550631. The reversal of 100105500550601 is 106055005501001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100105500550601 - 2² = 100105500550597 is a prime.

It is a super-2 number, since 2×100105500550601² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105500550631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467030025 + ... + 2467070601.

It is an arithmetic number, because the mean of its divisors is an integer number (3855101852784).

Almost surely, 2^{100105500550601} is an apocalyptic number.

It is an amenable number.

100105500550601 is a deficient number, since it is larger than the sum of its proper divisors (23257758738487).

100105500550601 is a wasteful number, since it uses less digits than its factorization.

100105500550601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74361.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100105500550601 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, six hundred one".