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105437343 = 3112714091
BaseRepresentation
bin1100100100011…
…01100010011111
321100101202211210
412102031202133
5203442443333
614243515503
72420126334
oct622154237
9240352753
10105437343
1154575700
122b388b93
1318ac867b
141000898b
1593caa63
hex648d89f

105437343 has 24 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 62986000.

The previous prime is 105437329. The next prime is 105437377. The reversal of 105437343 is 343734501.

It is not a de Polignac number, because 105437343 - 29 = 105436831 is a prime.

It is a super-2 number, since 2×1054373432 = 22234066597799298, 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 105437343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105437303) 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, 23728 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2105437343 is an apocalyptic number.

105437343 is a deficient number, since it is larger than the sum of its proper divisors (51302625).

105437343 is a wasteful number, since it uses less digits than its factorization.

105437343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 105437343 is about 10268.2687440483. The cubic root of 105437343 is about 472.4234908734.

The spelling of 105437343 in words is "one hundred five million, four hundred thirty-seven thousand, three hundred forty-three".

Divisors: 1 3 11 33 71 121 213 363 781 2343 4091 8591 12273 25773 45001 135003 290461 495011 871383 1485033 3195071 9585213 35145781 105437343