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106628 = 22192361
BaseRepresentation
bin11010000010000100
312102021012
4122002010
511403003
62141352
7622604
oct320204
9172235
10106628
1173125
1251858
13396c2
142ac04
15218d8
hex1a084

106628 has 24 divisors (see below), whose sum is σ = 208320. Its totient is φ = 47520.

The previous prime is 106627. The next prime is 106637. The reversal of 106628 is 826601.

106628 = 122 + 132 + ... + 682.

It is a super-2 number, since 2×1066282 = 22739060768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2106628 is an apocalyptic number.

It is an amenable number.

106628 is a deficient number, since it is larger than the sum of its proper divisors (101692).

106628 is a wasteful number, since it uses less digits than its factorization.

106628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106628 is about 326.5394310034. The cubic root of 106628 is about 47.4195128170.

The spelling of 106628 in words is "one hundred six thousand, six hundred twenty-eight".

Divisors: 1 2 4 19 23 38 46 61 76 92 122 244 437 874 1159 1403 1748 2318 2806 4636 5612 26657 53314 106628