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105342669 = 32196110099
BaseRepresentation
bin1100100011101…
…10011011001101
321100012221222100
412101312123031
5203431431134
614241505313
72416253325
oct621663315
9240187870
10105342669
1154510563
122b342239
1318a94553
14ddc2285
1593ac999
hex64766cd

105342669 has 24 divisors (see below), whose sum is σ = 162812000. Its totient is φ = 65435040.

The previous prime is 105342667. The next prime is 105342683. The reversal of 105342669 is 966243501.

It is a happy number.

It is not a de Polignac number, because 105342669 - 21 = 105342667 is a prime.

It is a super-2 number, since 2×1053426692 = 22194155824087122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342661) 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, 5382 + ... + 15480.

Almost surely, 2105342669 is an apocalyptic number.

105342669 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105342669 is a deficient number, since it is larger than the sum of its proper divisors (57469331).

105342669 is a wasteful number, since it uses less digits than its factorization.

105342669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 105342669 is about 10263.6576813532. The cubic root of 105342669 is about 472.2820494770.

It can be divided in two parts, 10534 and 2669, that added together give a triangular number (13203 = T162).

The spelling of 105342669 in words is "one hundred five million, three hundred forty-two thousand, six hundred sixty-nine".

Divisors: 1 3 9 19 57 61 171 183 549 1159 3477 10099 10431 30297 90891 191881 575643 616039 1726929 1848117 5544351 11704741 35114223 105342669