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105343370 = 25112933023
BaseRepresentation
bin1100100011101…
…10100110001010
321100012222221022
412101312212022
5203431441440
614241512442
72416255346
oct621664612
9240188838
10105343370
1154511040
122b342722
1318a94972
14ddc2626
1593accb5
hex647698a

105343370 has 32 divisors (see below), whose sum is σ = 213995520. Its totient is φ = 36984640.

The previous prime is 105343361. The next prime is 105343387. The reversal of 105343370 is 73343501.

It is a super-2 number, since 2×1053433702 = 22194451205913800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13322 + ... + 19701.

It is an arithmetic number, because the mean of its divisors is an integer number (6687360).

Almost surely, 2105343370 is an apocalyptic number.

105343370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105343370 is an abundant number, since it is smaller than the sum of its proper divisors (108652150).

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

105343370 is a wasteful number, since it uses less digits than its factorization.

105343370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33070.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 105343370 is about 10263.6918309154. The cubic root of 105343370 is about 472.2830970708.

Adding to 105343370 its reverse (73343501), we get a palindrome (178686871).

The spelling of 105343370 in words is "one hundred five million, three hundred forty-three thousand, three hundred seventy".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 3190 33023 66046 165115 330230 363253 726506 957667 1816265 1915334 3632530 4788335 9576670 10534337 21068674 52671685 105343370