100105055055501 has 16 divisors (see below), whose sum is σ = 138575410936320. Its totient is φ = 64210589098560.

The previous prime is 100105055055487. The next prime is 100105055055547. The reversal of 100105055055501 is 105550550501001.

It is not a de Polignac number, because 100105055055501 - 2⁵ = 100105055055469 is a prime.

It is a super-3 number, since 3×100105055055501³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105055059501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3110962066 + ... + 3110994243.

It is an arithmetic number, because the mean of its divisors is an integer number (8660963183520).

Almost surely, 2^{100105055055501} is an apocalyptic number.

It is an amenable number.

100105055055501 is a deficient number, since it is larger than the sum of its proper divisors (38470355880819).

100105055055501 is a wasteful number, since it uses less digits than its factorization.

100105055055501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221956516.

The product of its (nonzero) digits is 15625, while the sum is 33.

The spelling of 100105055055501 in words is "one hundred trillion, one hundred five billion, fifty-five million, fifty-five thousand, five hundred one".