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106289658 = 23672901
BaseRepresentation
bin1100101010111…
…01100111111010
321102000002000000
412111131213322
5204202232113
614314053430
72430306246
oct625354772
9242002000
10106289658
1154aa7aa2
122b71a276
13190365b7
141018b426
1594e8373
hex655d9fa

106289658 has 28 divisors (see below), whose sum is σ = 239045658. Its totient is φ = 35429400.

The previous prime is 106289657. The next prime is 106289683. The reversal of 106289658 is 856982601.

106289658 is a `hidden beast` number, since 10 + 628 + 9 + 6 + 5 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53538489 + 52751169 = 7317^2 + 7263^2 .

It is a super-2 number, since 2×1062896582 = 22594982795513928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106289657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 34993 + ... + 37908.

Almost surely, 2106289658 is an apocalyptic number.

106289658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106289658 is an abundant number, since it is smaller than the sum of its proper divisors (132756000).

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

106289658 is an frugal number, since it uses more digits than its factorization.

106289658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72921 (or 72906 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106289658 is about 10309.6875801355. The cubic root of 106289658 is about 473.6930395196.

The spelling of 106289658 in words is "one hundred six million, two hundred eighty-nine thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 72901 145802 218703 437406 656109 1312218 1968327 3936654 5904981 11809962 17714943 35429886 53144829 106289658