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106831935 = 32572291481
BaseRepresentation
bin1100101111000…
…10000000111111
321110000121212100
412113202000333
5204322110220
614333440143
72435025240
oct627420077
9243017770
10106831935
1155338461
122b940053
1319196382
141028ccc7
1595a3d90
hex65e203f

106831935 has 48 divisors (see below), whose sum is σ = 212696640. Its totient is φ = 48591360.

The previous prime is 106831919. The next prime is 106831939. The reversal of 106831935 is 539138601.

It is a happy number.

It is not a de Polignac number, because 106831935 - 24 = 106831919 is a prime.

It is a super-2 number, since 2×1068319352 = 22826124671688450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106831935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106831939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71395 + ... + 72875.

It is an arithmetic number, because the mean of its divisors is an integer number (4431180).

Almost surely, 2106831935 is an apocalyptic number.

106831935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106831935 is a deficient number, since it is larger than the sum of its proper divisors (105864705).

106831935 is a wasteful number, since it uses less digits than its factorization.

106831935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106831935 is about 10335.9535118924. The cubic root of 106831935 is about 474.4972483030.

The spelling of 106831935 in words is "one hundred six million, eight hundred thirty-one thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 229 315 687 1145 1481 1603 2061 3435 4443 4809 7405 8015 10305 10367 13329 14427 22215 24045 31101 51835 66645 72135 93303 155505 339149 466515 1017447 1695745 2374043 3052341 5087235 7122129 11870215 15261705 21366387 35610645 106831935