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106468263 = 361121771
BaseRepresentation
bin1100101100010…
…01001110100111
321102100011000000
412112021032213
5204223441023
614321552343
72431652046
oct626111647
9242304000
10106468263
115510a200
122b7a56b3
1319099995
14101d655d
159531243
hex65893a7

106468263 has 84 divisors (see below), whose sum is σ = 188398224. Its totient is φ = 59875200.

The previous prime is 106468253. The next prime is 106468303. The reversal of 106468263 is 362864601.

106468263 is a `hidden beast` number, since 1 + 0 + 646 + 8 + 2 + 6 + 3 = 666.

It is not a de Polignac number, because 106468263 - 25 = 106468231 is a prime.

It is a super-2 number, since 2×1064682632 = 22670982052474338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106468223) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1499518 + ... + 1499588.

It is an arithmetic number, because the mean of its divisors is an integer number (2242836).

Almost surely, 2106468263 is an apocalyptic number.

106468263 is a deficient number, since it is larger than the sum of its proper divisors (81929961).

106468263 is an equidigital number, since it uses as much as digits as its factorization.

106468263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106468263 is about 10318.3459430279. The cubic root of 106468263 is about 473.9582161534.

The spelling of 106468263 in words is "one hundred six million, four hundred sixty-eight thousand, two hundred sixty-three".

Divisors: 1 3 9 11 17 27 33 51 71 81 99 121 153 187 213 243 297 363 459 561 639 729 781 891 1089 1207 1377 1683 1917 2057 2343 2673 3267 3621 4131 5049 5751 6171 7029 8019 8591 9801 10863 12393 13277 15147 17253 18513 21087 25773 29403 32589 39831 45441 51759 55539 63261 77319 88209 97767 119493 136323 146047 166617 189783 231957 293301 358479 438141 499851 569349 695871 879903 1075437 1314423 1499553 2087613 3226311 3943269 6262839 9678933 11829807 35489421 106468263