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105660217 = 1353153353
BaseRepresentation
bin1100100110000…
…11111100111001
321100211002120101
412103003330321
5204022111332
614252355401
72422045165
oct623037471
9240732511
10105660217
11547080a3
122b475b61
1318b75c50
1410065ca5
159421ae7
hex64c3f39

105660217 has 8 divisors (see below), whose sum is σ = 115935624. Its totient is φ = 95691648.

The previous prime is 105660211. The next prime is 105660251. The reversal of 105660217 is 712066501.

It can be written as a sum of positive squares in 4 ways, for example, as 30647296 + 75012921 = 5536^2 + 8661^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-105660217 is a prime.

It is a super-2 number, since 2×1056602172 = 22328162912974178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105660211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75988 + ... + 77365.

It is an arithmetic number, because the mean of its divisors is an integer number (14491953).

Almost surely, 2105660217 is an apocalyptic number.

It is an amenable number.

105660217 is a deficient number, since it is larger than the sum of its proper divisors (10275407).

105660217 is a wasteful number, since it uses less digits than its factorization.

105660217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153419.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105660217 is about 10279.1155747953. The cubic root of 105660217 is about 472.7561270121.

The spelling of 105660217 in words is "one hundred five million, six hundred sixty thousand, two hundred seventeen".

Divisors: 1 13 53 689 153353 1993589 8127709 105660217