100101106 has 32 divisors (see below), whose sum is σ = 179843328. Its totient is φ = 40856640.

The previous prime is 100101097. The next prime is 100101107. The reversal of 100101106 is 601101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101092 and 100101101.

It is not an unprimeable number, because it can be changed into a prime (100101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93816 + ... + 94876.

It is an arithmetic number, because the mean of its divisors is an integer number (5620104).

Almost surely, 2^100101106 is an apocalyptic number.

100101106 is a deficient number, since it is larger than the sum of its proper divisors (79742222).

100101106 is a wasteful number, since it uses less digits than its factorization.

100101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100101106 is about 10005.0540228427. The cubic root of 100101106 is about 464.3152614974.

Adding to 100101106 its reverse (601101001), we get a palindrome (701202107).

The spelling of 100101106 in words is "one hundred million, one hundred one thousand, one hundred six".