Search a number
-
+
105234696 = 23327208799
BaseRepresentation
bin1100100010111…
…00000100001000
321100000110212100
412101130010020
5203420002241
614235313400
72415323460
oct621340410
9240013770
10105234696
1154447426
122b2ab860
1318a57368
14dd94ba0
15938a9b6
hex645c108

105234696 has 48 divisors (see below), whose sum is σ = 325728000. Its totient is φ = 30066912.

The previous prime is 105234691. The next prime is 105234713. The reversal of 105234696 is 696432501.

It is a happy number.

105234696 is a `hidden beast` number, since 1 + 0 + 523 + 46 + 96 = 666.

It is a super-2 number, since 2×1052346962 = 22148682484424832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105234696.

It is not an unprimeable number, because it can be changed into a prime (105234691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103896 + ... + 104903.

It is an arithmetic number, because the mean of its divisors is an integer number (6786000).

Almost surely, 2105234696 is an apocalyptic number.

It is an amenable number.

105234696 is an abundant number, since it is smaller than the sum of its proper divisors (220493304).

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

105234696 is a wasteful number, since it uses less digits than its factorization.

105234696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208818 (or 208811 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 105234696 is about 10258.3963659044. The cubic root of 105234696 is about 472.1206361185.

The spelling of 105234696 in words is "one hundred five million, two hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 208799 417598 626397 835196 1252794 1461593 1670392 1879191 2505588 2923186 3758382 4384779 5011176 5846372 7516764 8769558 11692744 13154337 15033528 17539116 26308674 35078232 52617348 105234696