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106042368 = 210334519
BaseRepresentation
bin1100101001000…
…01010000000000
321101112111210010
412110201100000
5204121323433
614304504520
72425226265
oct624412000
9241474703
10106042368
1154949223
122b61b140
1318c7ab83
141012526c
159499e63
hex6521400

106042368 has 44 divisors (see below), whose sum is σ = 282649760. Its totient is φ = 35346432.

The previous prime is 106042337. The next prime is 106042381. The reversal of 106042368 is 863240601.

It is a super-2 number, since 2×1060423682 = 22489967622094848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14188 + ... + 20331.

Almost surely, 2106042368 is an apocalyptic number.

It is an amenable number.

106042368 is an abundant number, since it is smaller than the sum of its proper divisors (176607392).

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

106042368 is an equidigital number, since it uses as much as digits as its factorization.

106042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34542 (or 34524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 106042368 is about 10297.6875073970. The cubic root of 106042368 is about 473.3253947400.

Adding to 106042368 its reverse (863240601), we get a palindrome (969282969).

The spelling of 106042368 in words is "one hundred six million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 34519 69038 103557 138076 207114 276152 414228 552304 828456 1104608 1656912 2209216 3313824 4418432 6627648 8836864 13255296 17673728 26510592 35347456 53021184 106042368