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12105613 = 132340487
BaseRepresentation
bin101110001011…
…011110001101
3211210000210001
4232023132031
511044334423
61111244301
7204616222
oct56133615
924700701
1012105613
116919143
124079691
13267b0b0
141871949
1510e1cad
hexb8b78d

12105613 has 8 divisors (see below), whose sum is σ = 13603968. Its totient is φ = 10688304.

The previous prime is 12105607. The next prime is 12105637. The reversal of 12105613 is 31650121.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12105613 is a prime.

It is a super-2 number, since 2×121056132 = 293091732211538, 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 (12105113) 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, 19945 + ... + 20542.

It is an arithmetic number, because the mean of its divisors is an integer number (1700496).

Almost surely, 212105613 is an apocalyptic number.

12105613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12105613 is a deficient number, since it is larger than the sum of its proper divisors (1498355).

12105613 is a wasteful number, since it uses less digits than its factorization.

12105613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40523.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 12105613 is about 3479.3121446631. The cubic root of 12105613 is about 229.6125360405.

Adding to 12105613 its reverse (31650121), we get a palindrome (43755734).

It can be divided in two parts, 12 and 105613, that added together give a square (105625 = 3252).

The spelling of 12105613 in words is "twelve million, one hundred five thousand, six hundred thirteen".

Divisors: 1 13 23 299 40487 526331 931201 12105613