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105000399 = 3278871879
BaseRepresentation
bin1100100001000…
…10110111001111
321022120120110200
412100202313033
5203340003044
614230304543
72413326420
oct620426717
9238516420
10105000399
11542a7399
122b1b8153
13189a481a
14dd33647
159341369
hex6422dcf

105000399 has 24 divisors (see below), whose sum is σ = 173621760. Its totient is φ = 59900688.

The previous prime is 105000361. The next prime is 105000407. The reversal of 105000399 is 993000501.

It is not a de Polignac number, because 105000399 - 29 = 104999887 is a prime.

It is a super-2 number, since 2×1050003992 = 22050167580318402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000319) 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, 54942 + ... + 56820.

It is an arithmetic number, because the mean of its divisors is an integer number (7234240).

Almost surely, 2105000399 is an apocalyptic number.

105000399 is a deficient number, since it is larger than the sum of its proper divisors (68621361).

105000399 is a wasteful number, since it uses less digits than its factorization.

105000399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 105000399 is about 10246.9702351476. The cubic root of 105000399 is about 471.7699956055.

The spelling of 105000399 in words is "one hundred five million, three hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 887 1879 2661 5637 6209 7983 13153 16911 18627 39459 55881 118377 1666673 5000019 11666711 15000057 35000133 105000399