100105105510551 has 32 divisors (see below), whose sum is σ = 138167109158400. Its totient is φ = 64392964836480.

The previous prime is 100105105510489. The next prime is 100105105510561. The reversal of 100105105510551 is 155015501501001.

It is a happy number.

It is not a de Polignac number, because 100105105510551 - 2¹⁴ = 100105105494167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105105510561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508778160 + ... + 1508844506.

It is an arithmetic number, because the mean of its divisors is an integer number (4317722161200).

Almost surely, 2^{100105105510551} is an apocalyptic number.

100105105510551 is a deficient number, since it is larger than the sum of its proper divisors (38062003647849).

100105105510551 is a wasteful number, since it uses less digits than its factorization.

100105105510551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77559.

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 100105105510551 in words is "one hundred trillion, one hundred five billion, one hundred five million, five hundred ten thousand, five hundred fifty-one".