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106825334 = 27112193319
BaseRepresentation
bin1100101111000…
…00011001110110
321110000021210212
412113200121312
5204321402314
614333345422
72435000060
oct627403166
9243007725
10106825334
1155333500
122b938272
1319193375
141028a730
1595a1e3e
hex65e0676

106825334 has 48 divisors (see below), whose sum is σ = 211948800. Its totient is φ = 39417840.

The previous prime is 106825333. The next prime is 106825337. The reversal of 106825334 is 433528601.

It is a super-2 number, since 2×1068253342 = 22823303968423112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106825334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106825333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30527 + ... + 33845.

It is an arithmetic number, because the mean of its divisors is an integer number (4415600).

Almost surely, 2106825334 is an apocalyptic number.

106825334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106825334 is a deficient number, since it is larger than the sum of its proper divisors (105123466).

106825334 is a wasteful number, since it uses less digits than its factorization.

106825334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 106825334 is about 10335.6341847029. The cubic root of 106825334 is about 474.4874752552.

The spelling of 106825334 in words is "one hundred six million, eight hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 7 11 14 19 22 38 77 121 133 154 209 242 266 418 847 1463 1694 2299 2926 3319 4598 6638 16093 23233 32186 36509 46466 63061 73018 126122 255563 401599 441427 511126 693671 803198 882854 1387342 2811193 4855697 5622386 7630381 9711394 15260762 53412667 106825334