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106183900 = 22527913441
BaseRepresentation
bin1100101010000…
…11110011011100
321101210200221001
412111003303130
5204140341100
614311520044
72426356024
oct625036334
9241720831
10106183900
1154a35599
122b689024
1318cca414
1410160a84
1594c6d6a
hex6543cdc

106183900 has 36 divisors (see below), whose sum is σ = 233353120. Its totient is φ = 41932800.

The previous prime is 106183873. The next prime is 106183901. The reversal of 106183900 is 9381601.

It is a happy number.

It is a super-2 number, since 2×1061839002 = 22550041238420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106183901) 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, 1180 + ... + 14620.

Almost surely, 2106183900 is an apocalyptic number.

106183900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106183900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116676560).

106183900 is an abundant number, since it is smaller than the sum of its proper divisors (127169220).

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

106183900 is a wasteful number, since it uses less digits than its factorization.

106183900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13534 (or 13527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 106183900 is about 10304.5572442488. The cubic root of 106183900 is about 473.5358795036.

The spelling of 106183900 in words is "one hundred six million, one hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 13441 26882 53764 67205 134410 268820 336025 672050 1061839 1344100 2123678 4247356 5309195 10618390 21236780 26545975 53091950 106183900