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106364304 = 24321674423
BaseRepresentation
bin1100101011011…
…11110110010000
321102010212101200
412111233312100
5204212124204
614315431200
72431040004
oct625576620
9242125350
10106364304
1155049092
122b755500
1319061577
14101aa704
159510539
hex656fd90

106364304 has 60 divisors (see below), whose sum is σ = 299522496. Its totient is φ = 35234496.

The previous prime is 106364303. The next prime is 106364341. The reversal of 106364304 is 403463601.

106364304 is a `hidden beast` number, since 10 + 6 + 3 + 643 + 0 + 4 = 666.

It is a super-2 number, since 2×1063643042 = 22626730330808832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106364303) 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, 21837 + ... + 26259.

Almost surely, 2106364304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761248).

106364304 is an abundant number, since it is smaller than the sum of its proper divisors (193158192).

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

106364304 is a wasteful number, since it uses less digits than its factorization.

106364304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106364304 is about 10313.3071320503. The cubic root of 106364304 is about 473.8039032890.

The spelling of 106364304 in words is "one hundred six million, three hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 4423 6012 8016 8846 12024 13269 17692 24048 26538 35384 39807 53076 70768 79614 106152 159228 212304 318456 636912 738641 1477282 2215923 2954564 4431846 5909128 6647769 8863692 11818256 13295538 17727384 26591076 35454768 53182152 106364304