106833405 has 32 divisors (see below), whose sum is σ = 195840000. Its totient is φ = 48716352.

The previous prime is 106833403. The next prime is 106833421. The reversal of 106833405 is 504338601.

It is not a de Polignac number, because 106833405 - 2¹ = 106833403 is a prime.

It is a super-2 number, since 2×106833405² = 22826752847788050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106833403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51376 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (6120000).

Almost surely, 2^106833405 is an apocalyptic number.

106833405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106833405 is a deficient number, since it is larger than the sum of its proper divisors (89006595).

106833405 is a wasteful number, since it uses less digits than its factorization.

106833405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106833405 is about 10336.0246226487. The cubic root of 106833405 is about 474.4994246428.

The spelling of 106833405 in words is "one hundred six million, eight hundred thirty-three thousand, four hundred five".