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105429699 = 3217701983
BaseRepresentation
bin1100100100010…
…11101011000011
321100101101100200
412102023223003
5203442222244
614243420243
72420065134
oct622135303
9240341320
10105429699
115456a991
122b384683
1318ac504b
1410005c8b
1593c8669
hex648bac3

105429699 has 24 divisors (see below), whose sum is σ = 161639712. Its totient is φ = 65990400.

The previous prime is 105429697. The next prime is 105429713. The reversal of 105429699 is 996924501.

105429699 is a `hidden beast` number, since 10 + 542 + 9 + 6 + 99 = 666.

It is not a de Polignac number, because 105429699 - 21 = 105429697 is a prime.

It is a super-2 number, since 2×1054296992 = 22230842862461202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105429691) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106762 + ... + 107744.

It is an arithmetic number, because the mean of its divisors is an integer number (6734988).

Almost surely, 2105429699 is an apocalyptic number.

105429699 is a deficient number, since it is larger than the sum of its proper divisors (56210013).

105429699 is a wasteful number, since it uses less digits than its factorization.

105429699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 105429699 is about 10267.8965226574. The cubic root of 105429699 is about 472.4120740062.

The spelling of 105429699 in words is "one hundred five million, four hundred twenty-nine thousand, six hundred ninety-nine".

Divisors: 1 3 9 17 51 153 701 983 2103 2949 6309 8847 11917 16711 35751 50133 107253 150399 689083 2067249 6201747 11714411 35143233 105429699