Search a number
-
+
106113237 = 3232695717
BaseRepresentation
bin1100101001100…
…10100011010101
321101200002222220
412110302203111
5204131110422
614310212553
72425643016
oct624624325
9241602886
10106113237
115499749a
122b654159
1318ca41c9
141014300d
1594b0e5c
hex65328d5

106113237 has 16 divisors (see below), whose sum is σ = 148210560. Its totient is φ = 67403072.

The previous prime is 106113229. The next prime is 106113257. The reversal of 106113237 is 732311601.

It is a cyclic number.

It is not a de Polignac number, because 106113237 - 23 = 106113229 is a prime.

It is a super-2 number, since 2×1061132372 = 22520038133236338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106113257) 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 15 ways as a sum of consecutive naturals, for example, 15703 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (9263160).

Almost surely, 2106113237 is an apocalyptic number.

It is an amenable number.

106113237 is a deficient number, since it is larger than the sum of its proper divisors (42097323).

106113237 is a wasteful number, since it uses less digits than its factorization.

106113237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106113237 is about 10301.1279479482. The cubic root of 106113237 is about 473.4308136972.

Adding to 106113237 its reverse (732311601), we get a palindrome (838424838).

The spelling of 106113237 in words is "one hundred six million, one hundred thirteen thousand, two hundred thirty-seven".

Divisors: 1 3 23 69 269 807 5717 6187 17151 18561 131491 394473 1537873 4613619 35371079 106113237