100131105 has 32 divisors (see below), whose sum is σ = 170529408. Its totient is φ = 49996800.

The previous prime is 100131089. The next prime is 100131127. The reversal of 100131105 is 501131001.

It is not a de Polignac number, because 100131105 - 2⁴ = 100131089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52875 + ... + 54735.

It is an arithmetic number, because the mean of its divisors is an integer number (5329044).

Almost surely, 2^100131105 is an apocalyptic number.

100131105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100131105 is a deficient number, since it is larger than the sum of its proper divisors (70398303).

100131105 is a wasteful number, since it uses less digits than its factorization.

100131105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 100131105 is about 10006.5531028422. The cubic root of 100131105 is about 464.3616399471.

Adding to 100131105 its reverse (501131001), we get a palindrome (601262106).

The spelling of 100131105 in words is "one hundred million, one hundred thirty-one thousand, one hundred five".