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106269612 = 22331463617
BaseRepresentation
bin1100101010110…
…00101110101100
321101222001111120
412111120232230
5204201111422
614313420540
72430163641
oct625305654
9241861446
10106269612
1154a93a29
122b70a750
131902a437
1410183dc8
1594e245c
hex6558bac

106269612 has 48 divisors (see below), whose sum is σ = 256929792. Its totient is φ = 34151040.

The previous prime is 106269599. The next prime is 106269617. The reversal of 106269612 is 216962601.

It is a super-2 number, since 2×1062696122 = 22586460869261088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106269617) 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, 171928 + ... + 172544.

It is an arithmetic number, because the mean of its divisors is an integer number (5352704).

Almost surely, 2106269612 is an apocalyptic number.

106269612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106269612 is an abundant number, since it is smaller than the sum of its proper divisors (150660180).

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

106269612 is a wasteful number, since it uses less digits than its factorization.

106269612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106269612 is about 10308.7153418843. The cubic root of 106269612 is about 473.6632584859.

The spelling of 106269612 in words is "one hundred six million, two hundred sixty-nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 463 617 926 1234 1389 1851 1852 2468 2778 3702 5556 7404 14353 19127 28706 38254 43059 57381 57412 76508 86118 114762 172236 229524 285671 571342 857013 1142684 1714026 3428052 8855801 17711602 26567403 35423204 53134806 106269612