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106111863 = 3411139161
BaseRepresentation
bin1100101001100…
…10001101110111
321101200001010000
412110302031313
5204131034423
614310202343
72425636014
oct624621567
9241601100
10106111863
1154996460
122b6533b3
1318ca36b0
141014270b
1594b0843
hex6532377

106111863 has 40 divisors (see below), whose sum is σ = 186245136. Its totient is φ = 59356800.

The previous prime is 106111861. The next prime is 106111867. The reversal of 106111863 is 368111601.

It is not a de Polignac number, because 106111863 - 21 = 106111861 is a prime.

It is a super-2 number, since 2×1061118632 = 22519454938661538, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7003 + ... + 16163.

Almost surely, 2106111863 is an apocalyptic number.

106111863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106111863 is a deficient number, since it is larger than the sum of its proper divisors (80133273).

106111863 is a wasteful number, since it uses less digits than its factorization.

106111863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 106111863 is about 10301.0612560066. The cubic root of 106111863 is about 473.4287702929.

The spelling of 106111863 in words is "one hundred six million, one hundred eleven thousand, eight hundred sixty-three".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 3861 9161 11583 27483 82449 100771 119093 247347 302313 357279 742041 906939 1071837 1310023 2720817 3215511 3930069 8162451 9646533 11790207 35370621 106111863