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106235208 = 23321475489
BaseRepresentation
bin1100101010100…
…00010101001000
321101220022022100
412111100111020
5204144011313
614312553400
72426661432
oct625202510
9241808270
10106235208
1154a700a2
122b6b2860
1319017891
1410175652
1594d7173
hex6550548

106235208 has 24 divisors (see below), whose sum is σ = 287720550. Its totient is φ = 35411712.

The previous prime is 106235203. The next prime is 106235219. The reversal of 106235208 is 802532601.

106235208 is a `hidden beast` number, since 10 + 623 + 5 + 20 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79174404 + 27060804 = 8898^2 + 5202^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1062352082 = 22571838837606528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106235203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 737673 + ... + 737816.

Almost surely, 2106235208 is an apocalyptic number.

106235208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106235208 is an abundant number, since it is smaller than the sum of its proper divisors (181485342).

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

106235208 is a wasteful number, since it uses less digits than its factorization.

106235208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475501 (or 1475494 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106235208 is about 10307.0465216763. The cubic root of 106235208 is about 473.6121379780.

Adding to 106235208 its reverse (802532601), we get a palindrome (908767809).

The spelling of 106235208 in words is "one hundred six million, two hundred thirty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1475489 2950978 4426467 5901956 8852934 11803912 13279401 17705868 26558802 35411736 53117604 106235208