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2108106 = 234711132
BaseRepresentation
bin1000000010101011001010
310222002210000
420002223022
51014424411
6113103430
723630040
oct10025312
93862700
102108106
11120a940
12857b76
1358a700
143cc390
152b9956
hex202aca

2108106 has 120 divisors (see below), whose sum is σ = 6377184. Its totient is φ = 505440.

The previous prime is 2108089. The next prime is 2108123. The reversal of 2108106 is 6018012.

It is an interprime number because it is at equal distance from previous prime (2108089) and next prime (2108123).

It is a super-2 number, since 2×21081062 = 8888221814472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162156 + ... + 162168.

22108106 is an apocalyptic number.

2108106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2108106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188592).

2108106 is an abundant number, since it is smaller than the sum of its proper divisors (4269078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2108106 is a wasteful number, since it uses less digits than its factorization.

2108106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2108106 is about 1451.9318165809. The cubic root of 2108106 is about 128.2224728035. Note that the first 3 decimals are identical.

The spelling of 2108106 in words is "two million, one hundred eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 169 182 189 198 231 234 273 286 297 338 351 378 429 462 507 546 567 594 693 702 819 858 891 1001 1014 1053 1134 1183 1287 1386 1521 1638 1782 1859 2002 2079 2106 2366 2457 2574 3003 3042 3549 3718 3861 4158 4563 4914 5577 6006 6237 7098 7371 7722 9009 9126 10647 11154 11583 12474 13013 13689 14742 16731 18018 21294 23166 26026 27027 27378 31941 33462 39039 50193 54054 63882 78078 81081 95823 100386 117117 150579 162162 191646 234234 301158 351351 702702 1054053 2108106