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106047204 = 223232231723
BaseRepresentation
bin1100101001000…
…10011011100100
321101112202102020
412110202123210
5204122002304
614304543140
72425246344
oct624423344
9241482366
10106047204
115495191a
122b621ab0
1318c80133
1410126d24
15949b5d9
hex65226e4

106047204 has 48 divisors (see below), whose sum is σ = 259510272. Its totient is φ = 33640992.

The previous prime is 106047203. The next prime is 106047209. The reversal of 106047204 is 402740601.

It is a super-3 number, since 3×1060472043 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106047203) 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, 60687 + ... + 62409.

It is an arithmetic number, because the mean of its divisors is an integer number (5406464).

Almost surely, 2106047204 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 106047204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129755136).

106047204 is an abundant number, since it is smaller than the sum of its proper divisors (153463068).

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

106047204 is a wasteful number, since it uses less digits than its factorization.

106047204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 106047204 is about 10297.9223147196. The cubic root of 106047204 is about 473.3325898730.

Adding to 106047204 its reverse (402740601), we get a palindrome (508787805).

The spelling of 106047204 in words is "one hundred six million, forty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 223 276 446 669 892 1338 1723 2676 3446 5129 5169 6892 10258 10338 15387 20516 20676 30774 39629 61548 79258 118887 158516 237774 384229 475548 768458 1152687 1536916 2305374 4610748 8837267 17674534 26511801 35349068 53023602 106047204