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105703689 = 3713675779
BaseRepresentation
bin1100100110011…
…10100100001001
321100220022012110
412103032210021
5204030004224
614253332533
72422316010
oct623164411
9240808173
10105703689
1154737823
122b497149
1318b8c980
1410077a77
15942e929
hex64ce909

105703689 has 32 divisors (see below), whose sum is σ = 176081920. Its totient is φ = 54914112.

The previous prime is 105703687. The next prime is 105703691. The reversal of 105703689 is 986307501.

It is an interprime number because it is at equal distance from previous prime (105703687) and next prime (105703691).

It is not a de Polignac number, because 105703689 - 21 = 105703687 is a prime.

It is a super-2 number, since 2×1057036892 = 22346539736417442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (105703681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15402 + ... + 21180.

It is an arithmetic number, because the mean of its divisors is an integer number (5502560).

Almost surely, 2105703689 is an apocalyptic number.

It is an amenable number.

105703689 is a deficient number, since it is larger than the sum of its proper divisors (70378231).

105703689 is a wasteful number, since it uses less digits than its factorization.

105703689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 105703689 is about 10281.2299361506. The cubic root of 105703689 is about 472.8209537969.

The spelling of 105703689 in words is "one hundred five million, seven hundred three thousand, six hundred eighty-nine".

Divisors: 1 3 7 13 21 39 67 91 201 273 469 871 1407 2613 5779 6097 17337 18291 40453 75127 121359 225381 387193 525889 1161579 1577667 2710351 5033509 8131053 15100527 35234563 105703689