106027031 has 16 divisors (see below), whose sum is σ = 118032768. Its totient is φ = 94432800.

The previous prime is 106027027. The next prime is 106027063. The reversal of 106027031 is 130720601.

It is a happy number.

It is not a de Polignac number, because 106027031 - 2² = 106027027 is a prime.

It is a super-2 number, since 2×106027031² = 22483462605349922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106026994 and 106027012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106027081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215696 + ... + 216186.

It is an arithmetic number, because the mean of its divisors is an integer number (7377048).

Almost surely, 2^106027031 is an apocalyptic number.

106027031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106027031 is a deficient number, since it is larger than the sum of its proper divisors (12005737).

106027031 is a wasteful number, since it uses less digits than its factorization.

106027031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 106027031 is about 10296.9427987146. The cubic root of 106027031 is about 473.3025744852.

Adding to 106027031 its reverse (130720601), we get a palindrome (236747632).

The spelling of 106027031 in words is "one hundred six million, twenty-seven thousand, thirty-one".