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106827350 = 252736229
BaseRepresentation
bin1100101111000…
…00111001010110
321110000101120112
412113200321112
5204321433400
614333403022
72435006000
oct627407126
9243011515
10106827350
1155334a73
122b939472
1319194266
141028b370
1595a2835
hex65e0e56

106827350 has 48 divisors (see below), whose sum is σ = 231756000. Its totient is φ = 36620640.

The previous prime is 106827349. The next prime is 106827359. The reversal of 106827350 is 53728601.

It is a happy number.

106827350 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×1068273502 = 22824165416045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106827359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14036 + ... + 20264.

It is an arithmetic number, because the mean of its divisors is an integer number (4828250).

Almost surely, 2106827350 is an apocalyptic number.

106827350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106827350 is an abundant number, since it is smaller than the sum of its proper divisors (124928650).

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

106827350 is an equidigital number, since it uses as much as digits as its factorization.

106827350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 106827350 is about 10335.7317109143. The cubic root of 106827350 is about 474.4904600675.

The spelling of 106827350 in words is "one hundred six million, eight hundred twenty-seven thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1715 2450 3430 6229 8575 12458 17150 31145 43603 62290 87206 155725 218015 305221 311450 436030 610442 1090075 1526105 2136547 2180150 3052210 4273094 7630525 10682735 15261050 21365470 53413675 106827350