100105500556071 has 24 divisors (see below), whose sum is σ = 148509194805504. Its totient is φ = 64931400826560.

The previous prime is 100105500556049. The next prime is 100105500556081. The reversal of 100105500556071 is 170655005501001.

It is a happy number.

100105500556071 is a `hidden beast` number, since 10 + 0 + 10 + 5 + 5 + 0 + 0 + 5 + 560 + 71 = 666.

It is not a de Polignac number, because 100105500556071 - 2¹⁴ = 100105500539687 is a prime.

It is a super-2 number, since 2×100105500556071² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500556031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7070581 + ... + 15817841.

It is an arithmetic number, because the mean of its divisors is an integer number (6187883116896).

Almost surely, 2^{100105500556071} is an apocalyptic number.

100105500556071 is a deficient number, since it is larger than the sum of its proper divisors (48403694249433).

100105500556071 is a wasteful number, since it uses less digits than its factorization.

100105500556071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781671 (or 8781668 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 100105500556071 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty-six thousand, seventy-one".