100105111050090 has 16 divisors (see below), whose sum is σ = 240252266520288. Its totient is φ = 26694696280016.

The previous prime is 100105111050059. The next prime is 100105111050221. The reversal of 100105111050090 is 90050111501001.

100105111050090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 100105111050090.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1668418517472 + ... + 1668418517531.

It is an arithmetic number, because the mean of its divisors is an integer number (15015766657518).

Almost surely, 2^{100105111050090} is an apocalyptic number.

100105111050090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105111050090 is an abundant number, since it is smaller than the sum of its proper divisors (140147155470198).

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

100105111050090 is a wasteful number, since it uses less digits than its factorization.

100105111050090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336837035013.

The product of its (nonzero) digits is 225, while the sum is 24.

Adding to 100105111050090 its reverse (90050111501001), we get a palindrome (190155222551091).

The spelling of 100105111050090 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, fifty thousand, ninety".