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106705460 = 2255335273
BaseRepresentation
bin1100101110000…
…11001000110100
321102210012101002
412113003020310
5204304033320
614331022432
72433660431
oct627031064
9242705332
10106705460
1155261434
122b89aa18
1319150934
1410258b88
15957b675
hex65c3234

106705460 has 12 divisors (see below), whose sum is σ = 224081508. Its totient is φ = 42682176.

The previous prime is 106705457. The next prime is 106705477. The reversal of 106705460 is 64507601.

It can be written as a sum of positive squares in 2 ways, for example, as 69422224 + 37283236 = 8332^2 + 6106^2 .

It is a super-2 number, since 2×1067054602 = 22772110387623200, 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 3 ways as a sum of consecutive naturals, for example, 2667617 + ... + 2667656.

It is an arithmetic number, because the mean of its divisors is an integer number (18673459).

Almost surely, 2106705460 is an apocalyptic number.

106705460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106705460 is an abundant number, since it is smaller than the sum of its proper divisors (117376048).

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

106705460 is a wasteful number, since it uses less digits than its factorization.

106705460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335282 (or 5335280 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 106705460 is about 10329.8334933338. The cubic root of 106705460 is about 474.3099268584.

The spelling of 106705460 in words is "one hundred six million, seven hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 5335273 10670546 21341092 26676365 53352730 106705460