100105105101100 has 144 divisors (see below), whose sum is σ = 245433128774400. Its totient is φ = 35105694624000.

The previous prime is 100105105101017. The next prime is 100105105101101. The reversal of 100105105101100 is 1101501501001.

It is not an unprimeable number, because it can be changed into a prime (100105105101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25575505 + ... + 29228695.

It is an arithmetic number, because the mean of its divisors is an integer number (1704396727600).

Almost surely, 2^{100105105101100} is an apocalyptic number.

100105105101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105105101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122716564387200).

100105105101100 is an abundant number, since it is smaller than the sum of its proper divisors (145328023673300).

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

100105105101100 is a wasteful number, since it uses less digits than its factorization.

100105105101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654104 (or 3654097 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 100105105101100 its reverse (1101501501001), we get a palindrome (101206606602101).

The spelling of 100105105101100 in words is "one hundred trillion, one hundred five billion, one hundred five million, one hundred one thousand, one hundred".