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105640491 = 3118338569
BaseRepresentation
bin1100100101111…
…11001000101011
321100210002111210
412102333020223
5204020443431
614252124203
72421633525
oct622771053
9240702453
10105640491
11546a42a0
122b466663
1318b69c88
141005ca15
15941ad46
hex64bf22b

105640491 has 16 divisors (see below), whose sum is σ = 155514240. Its totient is φ = 63251520.

The previous prime is 105640489. The next prime is 105640517. The reversal of 105640491 is 194046501.

It is a happy number.

It is not a de Polignac number, because 105640491 - 21 = 105640489 is a prime.

It is a super-2 number, since 2×1056404912 = 22319826677442162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105640411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16546 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (9719640).

Almost surely, 2105640491 is an apocalyptic number.

105640491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105640491 is a deficient number, since it is larger than the sum of its proper divisors (49873749).

105640491 is a wasteful number, since it uses less digits than its factorization.

105640491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38666.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105640491 is about 10278.1560116589. The cubic root of 105640491 is about 472.7267051286.

Adding to 105640491 its reverse (194046501), we get a palindrome (299686992).

The spelling of 105640491 in words is "one hundred five million, six hundred forty thousand, four hundred ninety-one".

Divisors: 1 3 11 33 83 249 913 2739 38569 115707 424259 1272777 3201227 9603681 35213497 105640491