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106893 = 3337107
BaseRepresentation
bin11010000110001101
312102122000
4122012031
511410033
62142513
7623433
oct320615
9172560
10106893
1173346
1251a39
1339867
142ad53
1521a13
hex1a18d

106893 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 68688.

The previous prime is 106877. The next prime is 106903. The reversal of 106893 is 398601.

It is not a de Polignac number, because 106893 - 24 = 106877 is a prime.

It is a super-2 number, since 2×1068932 = 22852226898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (106823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2106893 is an apocalyptic number.

It is an amenable number.

106893 is a deficient number, since it is larger than the sum of its proper divisors (57267).

106893 is a wasteful number, since it uses less digits than its factorization.

With its successor (106894) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (147).

106893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

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

The square root of 106893 is about 326.9449494946. The cubic root of 106893 is about 47.4587638427.

It can be divided in two parts, 106 and 893, that added together give a palindrome (999).

The spelling of 106893 in words is "one hundred six thousand, eight hundred ninety-three".

Divisors: 1 3 9 27 37 107 111 321 333 963 999 2889 3959 11877 35631 106893