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106677012 = 223134491523
BaseRepresentation
bin1100101101111…
…00001100010100
321102201202100110
412112330030110
5204302131022
614330243020
72433511461
oct626741424
9242652313
10106677012
1155242022
122b886470
13191409c0
141024c668
15957300c
hex65bc314

106677012 has 48 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 32729088.

The previous prime is 106677007. The next prime is 106677037. The reversal of 106677012 is 210776601.

It is a happy number.

It is a super-2 number, since 2×1066770122 = 22759969778496288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69283 + ... + 70805.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2106677012 is an apocalyptic number.

106677012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106677012 is an abundant number, since it is smaller than the sum of its proper divisors (162156588).

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

106677012 is a wasteful number, since it uses less digits than its factorization.

106677012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106677012 is about 10328.4564190396. The cubic root of 106677012 is about 474.2677722892.

The spelling of 106677012 in words is "one hundred six million, six hundred seventy-seven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 449 898 1347 1523 1796 2694 3046 4569 5388 5837 6092 9138 11674 17511 18276 19799 23348 35022 39598 59397 70044 79196 118794 237588 683827 1367654 2051481 2735308 4102962 8205924 8889751 17779502 26669253 35559004 53338506 106677012