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106314396 = 22317539833
BaseRepresentation
bin1100101011000…
…11101010011100
321102001022221020
412111203222130
5204204030041
614314404140
72430441336
oct625435234
9242038836
10106314396
1155014641
122b730650
1319044936
1410196456
159500866
hex6563a9c

106314396 has 48 divisors (see below), whose sum is σ = 267642144. Its totient is φ = 32720896.

The previous prime is 106314391. The next prime is 106314409. The reversal of 106314396 is 693413601.

It is a super-2 number, since 2×1063143962 = 22605501593689632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5896 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (5575878).

Almost surely, 2106314396 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 106314396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133821072).

106314396 is an abundant number, since it is smaller than the sum of its proper divisors (161327748).

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

106314396 is a wasteful number, since it uses less digits than its factorization.

106314396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 106314396 is about 10310.8872557118. The cubic root of 106314396 is about 473.7297859904.

Adding to 106314396 its reverse (693413601), we get a palindrome (799727997).

The spelling of 106314396 in words is "one hundred six million, three hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 9833 10812 19666 29499 39332 58998 117996 167161 334322 501483 521149 668644 1002966 1042298 1563447 2005932 2084596 3126894 6253788 8859533 17719066 26578599 35438132 53157198 106314396