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106643694 = 231937131193
BaseRepresentation
bin1100101101101…
…00000011101110
321102200001122110
412112310003232
5204300044234
614325424450
72433312363
oct626640356
9242601573
10106643694
1155219a93
122b86b126
131912b7a1
141024046a
1595681e9
hex65b40ee

106643694 has 64 divisors (see below), whose sum is σ = 233544960. Its totient is φ = 32348160.

The previous prime is 106643681. The next prime is 106643707. The reversal of 106643694 is 496346601.

It is an interprime number because it is at equal distance from previous prime (106643681) and next prime (106643707).

It is a super-2 number, since 2×1066436942 = 22745754939931272, 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 31 ways as a sum of consecutive naturals, for example, 552462 + ... + 552654.

It is an arithmetic number, because the mean of its divisors is an integer number (3649140).

Almost surely, 2106643694 is an apocalyptic number.

106643694 is an abundant number, since it is smaller than the sum of its proper divisors (126901266).

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

106643694 is a wasteful number, since it uses less digits than its factorization.

106643694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 106643694 is about 10326.8433705562. The cubic root of 106643694 is about 474.2183917691.

It can be divided in two parts, 1066436 and 94, that added together give a triangular number (1066530 = T1460).

The spelling of 106643694 in words is "one hundred six million, six hundred forty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 131 193 222 262 386 393 579 703 786 1158 1406 2109 2489 3667 4218 4847 4978 7141 7334 7467 9694 11001 14282 14541 14934 21423 22002 25283 29082 42846 50566 75849 92093 135679 151698 184186 271358 276279 407037 480377 552558 814074 935471 960754 1441131 1870942 2806413 2882262 5612826 17773949 35547898 53321847 106643694