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116676105 = 35721312211
BaseRepresentation
bin1101111010001…
…01011000001001
322010112202112020
412331011120021
5214332113410
615324435053
72614505400
oct675053011
9263482466
10116676105
115a951537
12330a8a89
131b232020
14116d2637
15a39aa70
hex6f45609

116676105 has 48 divisors (see below), whose sum is σ = 233884224. Its totient is φ = 49230720.

The previous prime is 116676101. The next prime is 116676113. The reversal of 116676105 is 501676611.

It is not a de Polignac number, because 116676105 - 22 = 116676101 is a prime.

It is a super-2 number, since 2×1166761052 = 27226626955942050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (116676101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (4872588).

Almost surely, 2116676105 is an apocalyptic number.

116676105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116676105 is an abundant number, since it is smaller than the sum of its proper divisors (117208119).

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

116676105 is a wasteful number, since it uses less digits than its factorization.

116676105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 116676105 is about 10801.6713984457. The cubic root of 116676105 is about 488.6455793912.

The spelling of 116676105 in words is "one hundred sixteen million, six hundred seventy-six thousand, one hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 12211 36633 61055 85477 158743 183165 256431 427385 476229 598339 793715 1111201 1282155 1795017 2381145 2991695 3333603 5556005 7778407 8975085 16668015 23335221 38892035 116676105