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106747134 = 23138915377
BaseRepresentation
bin1100101110011…
…01010011111110
321102212022112120
412113031103332
5204311402014
614331543410
72434223064
oct627152376
9242768476
10106747134
115528a77a
122b8bab66
13191668b0
141026a034
159588ba9
hex65cd4fe

106747134 has 32 divisors (see below), whose sum is σ = 232515360. Its totient is φ = 32474112.

The previous prime is 106747129. The next prime is 106747139. The reversal of 106747134 is 431747601.

It is an interprime number because it is at equal distance from previous prime (106747129) and next prime (106747139).

It is a super-2 number, since 2×1067471342 = 22789901234427912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106747095 and 106747104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106747139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (7266105).

Almost surely, 2106747134 is an apocalyptic number.

106747134 is an abundant number, since it is smaller than the sum of its proper divisors (125768226).

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

106747134 is a wasteful number, since it uses less digits than its factorization.

106747134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15484.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 106747134 is about 10331.8504634939. The cubic root of 106747134 is about 474.3716663395.

The spelling of 106747134 in words is "one hundred six million, seven hundred forty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 1157 2314 3471 6942 15377 30754 46131 92262 199901 399802 599703 1199406 1368553 2737106 4105659 8211318 17791189 35582378 53373567 106747134