100105110110052 has 18 divisors (see below), whose sum is σ = 253043472778278. Its totient is φ = 33368370036672.

The previous prime is 100105110110041. The next prime is 100105110110053. The reversal of 100105110110052 is 250011011501001.

100105110110052 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 511 + 0 + 1 + 100 + 52 = 666.

100105110110052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 91849682462976 + 8255427647076 = 9583824^2 + 2873226^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100105110110053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390348751493 + ... + 1390348751564.

Almost surely, 2^{100105110110052} is an apocalyptic number.

100105110110052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100105110110052 is an abundant number, since it is smaller than the sum of its proper divisors (152938362668226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105110110052 is a wasteful number, since it uses less digits than its factorization.

100105110110052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780697503067 (or 2780697503062 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 18.

Adding to 100105110110052 its reverse (250011011501001), we get a palindrome (350116121611053).

The spelling of 100105110110052 in words is "one hundred trillion, one hundred five billion, one hundred ten million, one hundred ten thousand, fifty-two".