106800093 has 16 divisors (see below), whose sum is σ = 162500160. Its totient is φ = 69275088.

The previous prime is 106800091. The next prime is 106800107. The reversal of 106800093 is 390008601.

It is not a de Polignac number, because 106800093 - 2¹ = 106800091 is a prime.

It is a super-2 number, since 2×106800093² = 22812519729617298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106800091) 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 15 ways as a sum of consecutive naturals, for example, 52455 + ... + 54452.

It is an arithmetic number, because the mean of its divisors is an integer number (10156260).

Almost surely, 2^106800093 is an apocalyptic number.

It is an amenable number.

106800093 is a deficient number, since it is larger than the sum of its proper divisors (55700067).

106800093 is a wasteful number, since it uses less digits than its factorization.

106800093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106953 (or 106947 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106800093 is about 10334.4130457419. The cubic root of 106800093 is about 474.4501012187.

Adding to 106800093 its reverse (390008601), we get a palindrome (496808694).

The spelling of 106800093 in words is "one hundred six million, eight hundred thousand, ninety-three".