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106957206 = 233592569
BaseRepresentation
bin1100110000000…
…00100110010110
321110020222201000
412120000212112
5204340112311
614340244130
72436056406
oct630004626
9243228630
10106957206
1155413594
122b9a0646
131920b3b5
14102c2806
1595cb056
hex6600996

106957206 has 48 divisors (see below), whose sum is σ = 242204400. Its totient is φ = 34986528.

The previous prime is 106957187. The next prime is 106957219. The reversal of 106957206 is 602759601.

It is a super-2 number, since 2×1069572062 = 22879687830652872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187690 + ... + 188258.

It is an arithmetic number, because the mean of its divisors is an integer number (5045925).

Almost surely, 2106957206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106957206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121102200).

106957206 is an abundant number, since it is smaller than the sum of its proper divisors (135247194).

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

106957206 is an equidigital number, since it uses as much as digits as its factorization.

106957206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106957206 is about 10342.0116998580. The cubic root of 106957206 is about 474.6826408280.

The spelling of 106957206 in words is "one hundred six million, nine hundred fifty-seven thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 569 1062 1138 1593 1707 3186 3414 3481 5121 6962 10242 10443 15363 20886 30726 31329 33571 62658 67142 93987 100713 187974 201426 302139 604278 906417 1812834 1980689 3961378 5942067 11884134 17826201 35652402 53478603 106957206