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106038396 = 2235127859
BaseRepresentation
bin1100101001000…
…00010001111100
321101112022100000
412110200101330
5204121212041
614304434300
72425211562
oct624402174
9241468300
10106038396
1154946242
122b618990
1318c79119
1410123a32
159498bb6
hex652047c

106038396 has 72 divisors (see below), whose sum is σ = 280483840. Its totient is φ = 35026992.

The previous prime is 106038389. The next prime is 106038403. The reversal of 106038396 is 693830601.

It is a happy number.

106038396 is a `hidden beast` number, since 10 + 603 + 8 + 39 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106038389) and next prime (106038403).

It is a super-2 number, since 2×1060383962 = 22488282852505632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106038396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123015 + ... + 123873.

Almost surely, 2106038396 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 106038396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241920).

106038396 is an abundant number, since it is smaller than the sum of its proper divisors (174445444).

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

106038396 is a wasteful number, since it uses less digits than its factorization.

106038396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106038396 is about 10297.4946467575. The cubic root of 106038396 is about 473.3194849262.

Adding to 106038396 its reverse (693830601), we get a palindrome (799868997).

The spelling of 106038396 in words is "one hundred six million, thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 243 254 324 381 486 508 762 859 972 1143 1524 1718 2286 2577 3429 3436 4572 5154 6858 7731 10287 10308 13716 15462 20574 23193 30861 30924 41148 46386 61722 69579 92772 109093 123444 139158 208737 218186 278316 327279 417474 436372 654558 834948 981837 1309116 1963674 2945511 3927348 5891022 8836533 11782044 17673066 26509599 35346132 53019198 106038396