106000101 has 6 divisors (see below), whose sum is σ = 153111270. Its totient is φ = 70666728.

The previous prime is 106000073. The next prime is 106000187. The reversal of 106000101 is 101000601.

It can be written as a sum of positive squares in only one way, i.e., 54375876 + 51624225 = 7374^2 + 7185^2 .

It is not a de Polignac number, because 106000101 - 2⁷ = 105999973 is a prime.

It is a super-2 number, since 2×106000101² = 22472042824020402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11777789 = 106000101 / (1 + 0 + 6 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5888886 + ... + 5888903.

It is an arithmetic number, because the mean of its divisors is an integer number (25518545).

Almost surely, 2^106000101 is an apocalyptic number.

It is an amenable number.

106000101 is a deficient number, since it is larger than the sum of its proper divisors (47111169).

106000101 is a wasteful number, since it uses less digits than its factorization.

106000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777795 (or 11777792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 106000101 is about 10295.6350459794. The cubic root of 106000101 is about 473.2624994292.

Adding to 106000101 its reverse (101000601), we get a palindrome (207000702).

The spelling of 106000101 in words is "one hundred six million, one hundred one", and thus it is an aban number.