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106316436 = 223172917971
BaseRepresentation
bin1100101011001…
…00001010010100
321102001102201210
412111210022110
5204204111221
614314421420
72430450312
oct625441224
9242042653
10106316436
1155016126
122b731870
1319045845
14101970b2
159501276
hex6564294

106316436 has 48 divisors (see below), whose sum is σ = 271736640. Its totient is φ = 32202240.

The previous prime is 106316363. The next prime is 106316447. The reversal of 106316436 is 634613601.

It is a super-2 number, since 2×1063164362 = 22606369127484192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 14901.

It is an arithmetic number, because the mean of its divisors is an integer number (5661180).

Almost surely, 2106316436 is an apocalyptic number.

It is an amenable number.

106316436 is an abundant number, since it is smaller than the sum of its proper divisors (165420204).

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

106316436 is a wasteful number, since it uses less digits than its factorization.

106316436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18024 (or 18022 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 106316436 is about 10310.9861797987. The cubic root of 106316436 is about 473.7328160052.

The spelling of 106316436 in words is "one hundred six million, three hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 5916 17971 35942 53913 71884 107826 215652 305507 521159 611014 916521 1042318 1222028 1563477 1833042 2084636 3126954 3666084 6253908 8859703 17719406 26579109 35438812 53158218 106316436