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106203114 = 23217347069
BaseRepresentation
bin1100101010010…
…00011111101010
321101211200021200
412111020133222
5204141444424
614312145030
72426466033
oct625103752
9241750250
10106203114
1154a48a76
122b698176
13190060a4
1410167a8a
1594cc8c9
hex65487ea

106203114 has 24 divisors (see below), whose sum is σ = 243643140. Its totient is φ = 33318528.

The previous prime is 106203113. The next prime is 106203151. The reversal of 106203114 is 411302601.

It is a happy number.

106203114 is a `hidden beast` number, since 1 + 0 + 620 + 31 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85655025 + 20548089 = 9255^2 + 4533^2 .

It is a super-2 number, since 2×1062031142 = 22558202846593992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106203113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173229 + ... + 173840.

Almost surely, 2106203114 is an apocalyptic number.

106203114 is an abundant number, since it is smaller than the sum of its proper divisors (137440026).

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

106203114 is a wasteful number, since it uses less digits than its factorization.

106203114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347094 (or 347091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106203114 is about 10305.4895080244. The cubic root of 106203114 is about 473.5644399214.

Adding to 106203114 its reverse (411302601), we get a palindrome (517505715).

The spelling of 106203114 in words is "one hundred six million, two hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 347069 694138 1041207 2082414 3123621 5900173 6247242 11800346 17700519 35401038 53101557 106203114