100105505511110 has 32 divisors (see below), whose sum is σ = 196574645740032. Its totient is φ = 36401291834080.

The previous prime is 100105505511091. The next prime is 100105505511127. The reversal of 100105505511110 is 11115505501001.

It is a super-3 number, since 3×100105505511110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100105505511110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3196652 + ... + 14506191.

It is an arithmetic number, because the mean of its divisors is an integer number (6142957679376).

Almost surely, 2^{100105505511110} is an apocalyptic number.

100105505511110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105505511110 is a deficient number, since it is larger than the sum of its proper divisors (96469140228922).

100105505511110 is a wasteful number, since it uses less digits than its factorization.

100105505511110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17754268.

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 100105505511110 in words is "one hundred trillion, one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred ten".