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106204104 = 23324135977
BaseRepresentation
bin1100101010010…
…00101111001000
321101211201122100
412111020233020
5204142012404
614312153400
72426501646
oct625105710
9241751570
10106204104
1154a49796
122b698860
1319006686
1410168196
1594ccd39
hex6548bc8

106204104 has 48 divisors (see below), whose sum is σ = 294659820. Its totient is φ = 34536960.

The previous prime is 106204093. The next prime is 106204127. The reversal of 106204104 is 401402601.

106204104 is a `hidden beast` number, since 1 + 0 + 620 + 41 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106131204 + 72900 = 10302^2 + 270^2 .

It is a super-2 number, since 2×1062041042 = 22558623412885632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15037 + ... + 20940.

Almost surely, 2106204104 is an apocalyptic number.

It is an amenable number.

106204104 is an abundant number, since it is smaller than the sum of its proper divisors (188455716).

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

106204104 is a wasteful number, since it uses less digits than its factorization.

106204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36030 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106204104 is about 10305.5375405653. The cubic root of 106204104 is about 473.5659114016.

Adding to 106204104 its reverse (401402601), we get a palindrome (507606705).

The spelling of 106204104 in words is "one hundred six million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 35977 71954 107931 143908 215862 287816 323793 431724 647586 863448 1295172 1475057 2590344 2950114 4425171 5900228 8850342 11800456 13275513 17700684 26551026 35401368 53102052 106204104