106920133 has 8 divisors (see below), whose sum is σ = 109104408. Its totient is φ = 104742144.

The previous prime is 106920131. The next prime is 106920137. The reversal of 106920133 is 331029601.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 106853569 = 258^2 + 10337^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106920133 - 2¹ = 106920131 is a prime.

It is a super-2 number, since 2×106920133² = 22863829681475378, 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 = 106920098 and 106920107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106920131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48585 + ... + 50737.

It is an arithmetic number, because the mean of its divisors is an integer number (13638051).

Almost surely, 2^106920133 is an apocalyptic number.

It is an amenable number.

106920133 is a deficient number, since it is larger than the sum of its proper divisors (2184275).

106920133 is an equidigital number, since it uses as much as digits as its factorization.

106920133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 106920133 is about 10340.2191949687. The cubic root of 106920133 is about 474.6277904075.

Adding to 106920133 its reverse (331029601), we get a palindrome (437949734).

The spelling of 106920133 in words is "one hundred six million, nine hundred twenty thousand, one hundred thirty-three".