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106323924 = 223721931307
BaseRepresentation
bin1100101011001…
…01111111010100
321102001211000010
412111211333110
5204204331144
614314520220
72430511200
oct625457724
9242054003
10106323924
1155020813
122b736070
1319049085
1410199b00
1595035b9
hex6565fd4

106323924 has 144 divisors (see below), whose sum is σ = 314603520. Its totient is φ = 27760320.

The previous prime is 106323911. The next prime is 106323929. The reversal of 106323924 is 429323601.

It is a super-2 number, since 2×1063239242 = 22609553629515552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106323891 and 106323900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106323929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346179 + ... + 346485.

Almost surely, 2106323924 is an apocalyptic number.

106323924 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 106323924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

106323924 is an abundant number, since it is smaller than the sum of its proper divisors (208279596).

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

106323924 is a wasteful number, since it uses less digits than its factorization.

106323924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 106323924 is about 10311.3492812532. The cubic root of 106323924 is about 473.7439376097.

The spelling of 106323924 in words is "one hundred six million, three hundred twenty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 49 57 62 76 84 93 98 114 124 133 147 186 196 217 228 266 294 307 372 399 434 532 588 589 614 651 798 868 921 931 1178 1228 1302 1519 1596 1767 1842 1862 2149 2356 2604 2793 3038 3534 3684 3724 4123 4298 4557 5586 5833 6076 6447 7068 8246 8596 9114 9517 11172 11666 12369 12894 15043 16492 17499 18228 19034 23332 24738 25788 28551 28861 30086 34998 38068 40831 45129 49476 57102 57722 60172 66619 69996 81662 86583 90258 114204 115444 122493 133238 163324 173166 180516 180823 199857 244986 266476 285817 346332 361646 399714 466333 489972 542469 571634 723292 799428 857451 932666 1084938 1143268 1265761 1398999 1714902 1865332 2169876 2531522 2797998 3429804 3797283 5063044 5595996 7594566 8860327 15189132 17720654 26580981 35441308 53161962 106323924