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10105293 = 3111718013
BaseRepresentation
bin100110100011…
…000111001101
3201000101212010
4212203013031
510041332133
61000331433
7151615332
oct46430715
921011763
1010105293
115782290
123473b79
13212a783
1414b0989
15d49263
hex9a31cd

10105293 has 16 divisors (see below), whose sum is σ = 15564096. Its totient is φ = 5763840.

The previous prime is 10105267. The next prime is 10105309. The reversal of 10105293 is 39250101.

10105293 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105293 - 25 = 10105261 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105213) 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, 8446 + ... + 9567.

It is an arithmetic number, because the mean of its divisors is an integer number (972756).

Almost surely, 210105293 is an apocalyptic number.

It is an amenable number.

10105293 is a deficient number, since it is larger than the sum of its proper divisors (5458803).

10105293 is a wasteful number, since it uses less digits than its factorization.

10105293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18044.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10105293 is about 3178.8823507642. The cubic root of 10105293 is about 216.1969867934.

Adding to 10105293 its reverse (39250101), we get a palindrome (49355394).

The spelling of 10105293 in words is "ten million, one hundred five thousand, two hundred ninety-three".

Divisors: 1 3 11 17 33 51 187 561 18013 54039 198143 306221 594429 918663 3368431 10105293