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106741530 = 2335756477
BaseRepresentation
bin1100101110010…
…11111100011010
321102212000212000
412113023330122
5204311212110
614331501430
72434200540
oct627137432
9242760760
10106741530
1155286545
122b8b7876
131916418c
1410267d90
1595871c0
hex65cbf1a

106741530 has 64 divisors (see below), whose sum is σ = 325313280. Its totient is φ = 24397632.

The previous prime is 106741517. The next prime is 106741543. The reversal of 106741530 is 35147601.

It is an interprime number because it is at equal distance from previous prime (106741517) and next prime (106741543).

It is a super-2 number, since 2×1067415302 = 22787508453481800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106741494 and 106741503.

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, 26349 + ... + 30128.

It is an arithmetic number, because the mean of its divisors is an integer number (5083020).

Almost surely, 2106741530 is an apocalyptic number.

106741530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106741530 is an abundant number, since it is smaller than the sum of its proper divisors (218571750).

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

106741530 is a wasteful number, since it uses less digits than its factorization.

106741530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56500 (or 56494 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106741530 is about 10331.5792597260. The cubic root of 106741530 is about 474.3633650226.

The spelling of 106741530 in words is "one hundred six million, seven hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 56477 112954 169431 282385 338862 395339 508293 564770 790678 847155 1016586 1186017 1524879 1694310 1976695 2372034 2541465 3049758 3558051 3953390 5082930 5930085 7116102 7624395 10674153 11860170 15248790 17790255 21348306 35580510 53370765 106741530