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106602552 = 23327316823
BaseRepresentation
bin1100101101010…
…10000000111000
321102120222012200
412112222000320
5204242240202
614324510200
72433051420
oct626520070
9242528180
10106602552
11551a1091
122b84b360
1319115b44
141022d480
15955ae1c
hex65aa038

106602552 has 96 divisors (see below), whose sum is σ = 340654080. Its totient is φ = 29471040.

The previous prime is 106602541. The next prime is 106602569. The reversal of 106602552 is 255206601.

106602552 is a `hidden beast` number, since 1 + 0 + 6 + 602 + 5 + 52 = 666.

It is a super-2 number, since 2×1066025522 = 22728208185825408, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12213 + ... + 19035.

It is an arithmetic number, because the mean of its divisors is an integer number (3548480).

Almost surely, 2106602552 is an apocalyptic number.

106602552 is a gapful number since it is divisible by the number (12) 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 106602552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170327040).

106602552 is an abundant number, since it is smaller than the sum of its proper divisors (234051528).

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

106602552 is a wasteful number, since it uses less digits than its factorization.

106602552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106602552 is about 10324.8511853682. The cubic root of 106602552 is about 474.1574011256.

The spelling of 106602552 in words is "one hundred six million, six hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 6823 7812 13646 15624 20469 27292 40938 47761 54584 61407 81876 95522 122814 143283 163752 191044 211513 245628 286566 382088 423026 429849 491256 573132 634539 846052 859698 1146264 1269078 1480591 1692104 1719396 1903617 2538156 2961182 3438792 3807234 4441773 5076312 5922364 7614468 8883546 11844728 13325319 15228936 17767092 26650638 35534184 53301276 106602552