Search a number
-
+
106078588 = 227112831217
BaseRepresentation
bin1100101001010…
…10000101111100
321101121100110121
412110222011330
5204124003323
614305344324
72425440010
oct624520574
9241540417
10106078588
1154973460
122b6380a4
1318c914c5
1410134540
1594a5a5d
hex652a17c

106078588 has 48 divisors (see below), whose sum is σ = 232452864. Its totient is φ = 41149440.

The previous prime is 106078579. The next prime is 106078591. The reversal of 106078588 is 885870601.

It is a super-2 number, since 2×1060785882 = 22505333664147488, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86556 + ... + 87772.

It is an arithmetic number, because the mean of its divisors is an integer number (4842768).

Almost surely, 2106078588 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 106078588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116226432).

106078588 is an abundant number, since it is smaller than the sum of its proper divisors (126374276).

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

106078588 is a wasteful number, since it uses less digits than its factorization.

106078588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 106078588 is about 10299.4460045189. The cubic root of 106078588 is about 473.3792785307.

The spelling of 106078588 in words is "one hundred six million, seventy-eight thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 283 308 566 1132 1217 1981 2434 3113 3962 4868 6226 7924 8519 12452 13387 17038 21791 26774 34076 43582 53548 87164 93709 187418 344411 374836 688822 1377644 2410877 3788521 4821754 7577042 9643508 15154084 26519647 53039294 106078588