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106906324 = 22783157293
BaseRepresentation
bin1100101111101…
…00001011010100
321110011101220111
412113310023110
5204332000244
614335212404
72435455150
oct627641324
9243141814
10106906324
1155389338
122b977104
13191c11a5
14102ac060
1595bae34
hex65f42d4

106906324 has 48 divisors (see below), whose sum is σ = 218510208. Its totient is φ = 44823168.

The previous prime is 106906313. The next prime is 106906337. The reversal of 106906324 is 423609601.

It is a super-2 number, since 2×1069063242 = 22857924222385952, 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 15 ways as a sum of consecutive naturals, for example, 364722 + ... + 365014.

It is an arithmetic number, because the mean of its divisors is an integer number (4552296).

Almost surely, 2106906324 is an apocalyptic number.

106906324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106906324 is an abundant number, since it is smaller than the sum of its proper divisors (111603884).

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

106906324 is a wasteful number, since it uses less digits than its factorization.

106906324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 106906324 is about 10339.5514409475. The cubic root of 106906324 is about 474.6073564096.

The spelling of 106906324 in words is "one hundred six million, nine hundred six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 83 157 166 293 314 332 581 586 628 1099 1162 1172 2051 2198 2324 4102 4396 8204 13031 24319 26062 46001 48638 52124 91217 92002 97276 170233 182434 184004 322007 340466 364868 644014 680932 1288028 3818083 7636166 15272332 26726581 53453162 106906324