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102829103 = 1361129671
BaseRepresentation
bin1100010000100…
…00110000101111
321011111021000022
412020100300233
5202311012403
614111552355
72356014206
oct610206057
9234437008
10102829103
1153054033
122a52b6bb
13183c4430
14d92a23d
159062d38
hex6210c2f

102829103 has 8 divisors (see below), whose sum is σ = 112555296. Its totient is φ = 93362400.

The previous prime is 102829093. The next prime is 102829109. The reversal of 102829103 is 301928201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102829103 - 224 = 86051887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102829109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64043 + ... + 65628.

It is an arithmetic number, because the mean of its divisors is an integer number (14069412).

Almost surely, 2102829103 is an apocalyptic number.

102829103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102829103 is a deficient number, since it is larger than the sum of its proper divisors (9726193).

102829103 is a wasteful number, since it uses less digits than its factorization.

102829103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129745.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 102829103 is about 10140.4685789169. The cubic root of 102829103 is about 468.4954194974.

The spelling of 102829103 in words is "one hundred two million, eight hundred twenty-nine thousand, one hundred three".

Divisors: 1 13 61 793 129671 1685723 7909931 102829103