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106331004 = 2232131271789
BaseRepresentation
bin1100101011001…
…11101101111100
321102002011201100
412111213231330
5204210043004
614315013100
72430540633
oct625475574
9242064640
10106331004
115502606a
122b73a190
131904c370
141019c51a
159505739
hex6567b7c

106331004 has 72 divisors (see below), whose sum is σ = 291898880. Its totient is φ = 32441472.

The previous prime is 106330963. The next prime is 106331041. The reversal of 106331004 is 400133601.

It is a super-2 number, since 2×1063310042 = 22612564823296032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58542 + ... + 60330.

Almost surely, 2106331004 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 106331004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145949440).

106331004 is an abundant number, since it is smaller than the sum of its proper divisors (185567876).

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

106331004 is a wasteful number, since it uses less digits than its factorization.

106331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106331004 is about 10311.6925865737. The cubic root of 106331004 is about 473.7544527490.

Adding to 106331004 its reverse (400133601), we get a palindrome (506464605).

The spelling of 106331004 in words is "one hundred six million, three hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 1789 2286 3302 3578 4572 4953 5367 6604 7156 9906 10734 14859 16101 19812 21468 23257 29718 32202 46514 59436 64404 69771 93028 139542 209313 227203 279084 418626 454406 681609 837252 908812 1363218 2044827 2726436 2953639 4089654 5907278 8179308 8860917 11814556 17721834 26582751 35443668 53165502 106331004