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105687197 = 7116122501
BaseRepresentation
bin1100100110010…
…10100010011101
321100212110120122
412103022202131
5204023442242
614253124325
72422216640
oct623124235
9240773518
10105687197
11547263a0
122b4896a5
1318b85305
1410071a57
159429ad2
hex64ca89d

105687197 has 16 divisors (see below), whose sum is σ = 133931904. Its totient is φ = 81000000.

The previous prime is 105687193. The next prime is 105687209. The reversal of 105687197 is 791786501.

It is a cyclic number.

It is not a de Polignac number, because 105687197 - 22 = 105687193 is a prime.

It is a super-2 number, since 2×1056871972 = 22339567219433618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105687193) 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 15 ways as a sum of consecutive naturals, for example, 6554 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (8370744).

Almost surely, 2105687197 is an apocalyptic number.

It is an amenable number.

105687197 is a deficient number, since it is larger than the sum of its proper divisors (28244707).

105687197 is a wasteful number, since it uses less digits than its factorization.

105687197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22580.

The product of its (nonzero) digits is 105840, while the sum is 44.

The square root of 105687197 is about 10280.4278607459. The cubic root of 105687197 is about 472.7963625115.

The spelling of 105687197 in words is "one hundred five million, six hundred eighty-seven thousand, one hundred ninety-seven".

Divisors: 1 7 11 61 77 427 671 4697 22501 157507 247511 1372561 1732577 9607927 15098171 105687197