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105831906 = 23412811531
BaseRepresentation
bin1100100111011…
…01110111100010
321101010211002020
412103231313202
5204043110111
614300202310
72423361555
oct623556742
9241124066
10105831906
1154815094
122b539396
1318c0613b
14100ac69c
159457906
hex64edde2

105831906 has 32 divisors (see below), whose sum is σ = 217740096. Its totient is φ = 34272000.

The previous prime is 105831857. The next prime is 105831907. The reversal of 105831906 is 609138501.

It is a super-2 number, since 2×1058319062 = 22400784655185672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105831907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68361 + ... + 69891.

It is an arithmetic number, because the mean of its divisors is an integer number (6804378).

Almost surely, 2105831906 is an apocalyptic number.

105831906 is an abundant number, since it is smaller than the sum of its proper divisors (111908190).

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

105831906 is a wasteful number, since it uses less digits than its factorization.

105831906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 105831906 is about 10287.4635357798. The cubic root of 105831906 is about 473.0120514758.

The spelling of 105831906 in words is "one hundred five million, eight hundred thirty-one thousand, nine hundred six".

Divisors: 1 2 3 6 41 82 123 246 281 562 843 1531 1686 3062 4593 9186 11521 23042 34563 62771 69126 125542 188313 376626 430211 860422 1290633 2581266 17638651 35277302 52915953 105831906