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106223076 = 22351031061
BaseRepresentation
bin1100101010011…
…01010111100100
321101212200200000
412111031113210
5204143114301
614312421300
72426611161
oct625152744
9241780600
10106223076
1154a61a73
122b6a7830
13190121bb
1410171068
1594d3786
hex654d5e4

106223076 has 72 divisors (see below), whose sum is σ = 281421504. Its totient is φ = 35030880.

The previous prime is 106223023. The next prime is 106223083. The reversal of 106223076 is 670322601.

It is a happy number.

106223076 is a `hidden beast` number, since 1 + 0 + 622 + 30 + 7 + 6 = 666.

It is a super-2 number, since 2×1062230762 = 22566683749803552, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99586 + ... + 100646.

It is an arithmetic number, because the mean of its divisors is an integer number (3908632).

Almost surely, 2106223076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106223076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140710752).

106223076 is an abundant number, since it is smaller than the sum of its proper divisors (175198428).

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

106223076 is a wasteful number, since it uses less digits than its factorization.

106223076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106223076 is about 10306.4579754637. The cubic root of 106223076 is about 473.5941085465.

Adding to 106223076 its reverse (670322601), we get a palindrome (776545677).

The spelling of 106223076 in words is "one hundred six million, two hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 927 972 1061 1236 1854 2122 2781 3183 3708 4244 5562 6366 8343 9549 11124 12732 16686 19098 25029 28647 33372 38196 50058 57294 85941 100116 109283 114588 171882 218566 257823 327849 343764 437132 515646 655698 983547 1031292 1311396 1967094 2950641 3934188 5901282 8851923 11802564 17703846 26555769 35407692 53111538 106223076