100123311105 has 48 divisors (see below), whose sum is σ = 177382932480. Its totient is φ = 52220674944.

The previous prime is 100123311023. The next prime is 100123311131. The reversal of 100123311105 is 501113321001.

It is not a de Polignac number, because 100123311105 - 2⁷ = 100123310977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2686579 + ... + 2723591.

It is an arithmetic number, because the mean of its divisors is an integer number (3695477760).

Almost surely, 2^100123311105 is an apocalyptic number.

100123311105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100123311105 is a deficient number, since it is larger than the sum of its proper divisors (77259621375).

100123311105 is a wasteful number, since it uses less digits than its factorization.

100123311105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38350 (or 38347 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 100123311105 its reverse (501113321001), we get a palindrome (601236632106).

The spelling of 100123311105 in words is "one hundred billion, one hundred twenty-three million, three hundred eleven thousand, one hundred five".