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106611204 = 22371967997
BaseRepresentation
bin1100101101011…
…00001000000100
321102121102002010
412112230020010
5204243024304
614325014220
72433115560
oct626541004
9242542063
10106611204
11551a7637
122b854370
1319119a6b
14102326a0
15955d789
hex65ac204

106611204 has 96 divisors (see below), whose sum is σ = 304030720. Its totient is φ = 28397952.

The previous prime is 106611203. The next prime is 106611227. The reversal of 106611204 is 402116601.

It is a super-2 number, since 2×1066112042 = 22731897636659232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106611203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106434 + ... + 107430.

Almost surely, 2106611204 is an apocalyptic number.

106611204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106611204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152015360).

106611204 is an abundant number, since it is smaller than the sum of its proper divisors (197419516).

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

106611204 is a wasteful number, since it uses less digits than its factorization.

106611204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106611204 is about 10325.2701659569. The cubic root of 106611204 is about 474.1702285197.

Adding to 106611204 its reverse (402116601), we get a palindrome (508727805).

The spelling of 106611204 in words is "one hundred six million, six hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 997 1273 1407 1596 1876 1994 2546 2814 2991 3819 3988 5092 5628 5982 6979 7638 8911 11964 13958 15276 17822 18943 20937 26733 27916 35644 37886 41874 53466 56829 66799 75772 83748 106932 113658 132601 133598 200397 227316 265202 267196 397803 400794 467593 530404 795606 801588 935186 1269181 1402779 1591212 1870372 2538362 2805558 3807543 5076724 5611116 7615086 8884267 15230172 17768534 26652801 35537068 53305602 106611204