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106047342 = 23223318263
BaseRepresentation
bin1100101001000…
…10011101101110
321101112202121100
412110202131232
5204122003332
614304543530
72425246632
oct624423556
9241482540
10106047342
1154951a35
122b621ba6
1318c8020b
1410126dc2
15949b67c
hex652276e

106047342 has 48 divisors (see below), whose sum is σ = 247523328. Its totient is φ = 32717520.

The previous prime is 106047313. The next prime is 106047349. The reversal of 106047342 is 243740601.

106047342 is a `hidden beast` number, since 10 + 604 + 7 + 3 + 42 = 666.

It is a super-2 number, since 2×1060473422 = 22492077490529928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106047349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8703 + ... + 16965.

It is an arithmetic number, because the mean of its divisors is an integer number (5156736).

Almost surely, 2106047342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106047342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123761664).

106047342 is an abundant number, since it is smaller than the sum of its proper divisors (141475986).

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

106047342 is a wasteful number, since it uses less digits than its factorization.

106047342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 106047342 is about 10297.9290150981. The cubic root of 106047342 is about 473.3327951899.

Adding to 106047342 its reverse (243740601), we get a palindrome (349787943).

The spelling of 106047342 in words is "one hundred six million, forty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 4278 6417 8263 12834 16526 24789 49578 74367 148734 190049 256153 380098 512306 570147 768459 1140294 1536918 1710441 2305377 3420882 4610754 5891519 11783038 17674557 35349114 53023671 106047342