Search a number
-
+
105236142 = 231110115787
BaseRepresentation
bin1100100010111…
…00011010101110
321100000112211220
412101130122232
5203420024032
614235324210
72415330624
oct621343256
9240015756
10105236142
1154448520
122b2b0666
1318a57c0b
14dd95514
15938b12c
hex645c6ae

105236142 has 32 divisors (see below), whose sum is σ = 231894144. Its totient is φ = 31572000.

The previous prime is 105236141. The next prime is 105236189. The reversal of 105236142 is 241632501.

It is a super-2 number, since 2×1052361422 = 22149291166088328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105236141) 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, 1228 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (7246692).

Almost surely, 2105236142 is an apocalyptic number.

105236142 is an abundant number, since it is smaller than the sum of its proper divisors (126658002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105236142 is a wasteful number, since it uses less digits than its factorization.

105236142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15904.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105236142 is about 10258.4668445143. The cubic root of 105236142 is about 472.1227985337.

Adding to 105236142 its reverse (241632501), we get a palindrome (346868643).

The spelling of 105236142 in words is "one hundred five million, two hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 15787 31574 47361 94722 173657 347314 520971 1041942 1594487 3188974 4783461 9566922 17539357 35078714 52618071 105236142