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10107377 = 72206273
BaseRepresentation
bin100110100011…
…100111110001
3201000111201022
4212203213301
510041414002
61000345225
7151624400
oct46434761
921014638
1010107377
115783905
123475215
13212b6c7
1414b1637
15d49ba2
hex9a39f1

10107377 has 6 divisors (see below), whose sum is σ = 11757618. Its totient is φ = 8663424.

The previous prime is 10107343. The next prime is 10107403. The reversal of 10107377 is 77370101.

It can be written as a sum of positive squares in only one way, i.e., 6071296 + 4036081 = 2464^2 + 2009^2 .

It is not a de Polignac number, because 10107377 - 26 = 10107313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10107277) 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 5 ways as a sum of consecutive naturals, for example, 103088 + ... + 103185.

It is an arithmetic number, because the mean of its divisors is an integer number (1959603).

Almost surely, 210107377 is an apocalyptic number.

It is an amenable number.

10107377 is a deficient number, since it is larger than the sum of its proper divisors (1650241).

10107377 is an equidigital number, since it uses as much as digits as its factorization.

10107377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206287 (or 206280 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 26.

The square root of 10107377 is about 3179.2101220272. The cubic root of 10107377 is about 216.2118477694.

Adding to 10107377 its reverse (77370101), we get a palindrome (87477478).

The spelling of 10107377 in words is "ten million, one hundred seven thousand, three hundred seventy-seven".

Divisors: 1 7 49 206273 1443911 10107377