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106241604 = 22372281643
BaseRepresentation
bin1100101010100…
…01111001000100
321101220122002020
412111101321010
5204144212404
614313043140
72430016200
oct625217104
9241818066
10106241604
1154a74987
122b6b64b0
131901a771
1410177b00
1594d8ed9
hex6551e44

106241604 has 72 divisors (see below), whose sum is σ = 289846368. Its totient is φ = 30199680.

The previous prime is 106241593. The next prime is 106241621. The reversal of 106241604 is 406142601.

It is a super-2 number, since 2×1062416042 = 22574556840985632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164907 + ... + 165549.

It is an arithmetic number, because the mean of its divisors is an integer number (4025644).

Almost surely, 2106241604 is an apocalyptic number.

106241604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106241604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144923184).

106241604 is an abundant number, since it is smaller than the sum of its proper divisors (183604764).

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

106241604 is a wasteful number, since it uses less digits than its factorization.

106241604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106241604 is about 10307.3567901766. The cubic root of 106241604 is about 473.6216425559.

The spelling of 106241604 in words is "one hundred six million, two hundred forty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 281 294 562 588 643 843 1124 1286 1686 1929 1967 2572 3372 3858 3934 4501 5901 7716 7868 9002 11802 13503 13769 18004 23604 27006 27538 31507 41307 54012 55076 63014 82614 94521 126028 165228 180683 189042 361366 378084 542049 722732 1084098 1264781 2168196 2529562 3794343 5059124 7588686 8853467 15177372 17706934 26560401 35413868 53120802 106241604