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106212336 = 24321110487
BaseRepresentation
bin1100101010010…
…10101111110000
321101212010221020
412111022233300
5204142243321
614312255440
72426534646
oct625125760
9241763836
10106212336
1154a5499a
122b6a1580
131900a349
141016b196
1594d04c6
hex654abf0

106212336 has 40 divisors (see below), whose sum is σ = 275708544. Its totient is φ = 35232960.

The previous prime is 106212329. The next prime is 106212341. The reversal of 106212336 is 633212601.

It is a happy number.

It is a super-2 number, since 2×1062123362 = 22562120637153792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4885 + ... + 15371.

Almost surely, 2106212336 is an apocalyptic number.

106212336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106212336 is an abundant number, since it is smaller than the sum of its proper divisors (169496208).

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

106212336 is a wasteful number, since it uses less digits than its factorization.

106212336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106212336 is about 10305.9369297507. The cubic root of 106212336 is about 473.5781466283.

Adding to 106212336 its reverse (633212601), we get a palindrome (739424937).

The spelling of 106212336 in words is "one hundred six million, two hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 422 633 844 1266 1688 2532 3376 5064 10128 10487 20974 31461 41948 62922 83896 125844 167792 251688 503376 2212757 4425514 6638271 8851028 13276542 17702056 26553084 35404112 53106168 106212336