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105106232 = 23711170627
BaseRepresentation
bin1100100001111…
…00101100111000
321022202221122102
412100330230320
5203401344412
614232442532
72414250110
oct620745470
9238687572
10105106232
1154369960
122b249448
1318a10a4a
14dd60040
1593628c2
hex643cb38

105106232 has 32 divisors (see below), whose sum is σ = 245704320. Its totient is φ = 40950240.

The previous prime is 105106217. The next prime is 105106273. The reversal of 105106232 is 232601501.

It is a super-2 number, since 2×1051062322 = 22094640010475648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84698 + ... + 85929.

It is an arithmetic number, because the mean of its divisors is an integer number (7678260).

Almost surely, 2105106232 is an apocalyptic number.

It is an amenable number.

105106232 is an abundant number, since it is smaller than the sum of its proper divisors (140598088).

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

105106232 is a wasteful number, since it uses less digits than its factorization.

105106232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170651 (or 170647 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105106232 is about 10252.1330463470. The cubic root of 105106232 is about 471.9284460142.

Adding to 105106232 its reverse (232601501), we get a palindrome (337707733).

The spelling of 105106232 in words is "one hundred five million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 170627 341254 682508 1194389 1365016 1876897 2388778 3753794 4777556 7507588 9555112 13138279 15015176 26276558 52553116 105106232