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106690277 = 37277933
BaseRepresentation
bin1100101101111…
…11011011100101
321102202102112202
412112333123211
5204303042102
614330424245
72433565241
oct626773345
9242672482
10106690277
1155250a91
122b892085
1319146a55
1410253421
159576e02
hex65bf6e5

106690277 has 6 divisors (see below), whose sum is σ = 109653138. Its totient is φ = 103805424.

The previous prime is 106690271. The next prime is 106690279. The reversal of 106690277 is 772096601.

It can be written as a sum of positive squares in 3 ways, for example, as 55338721 + 51351556 = 7439^2 + 7166^2 .

It is not a de Polignac number, because 106690277 - 214 = 106673893 is a prime.

It is a super-3 number, since 3×1066902773 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106690277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106690271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37598 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (18275523).

Almost surely, 2106690277 is an apocalyptic number.

It is an amenable number.

106690277 is a deficient number, since it is larger than the sum of its proper divisors (2962861).

106690277 is an frugal number, since it uses more digits than its factorization.

106690277 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78007 (or 77970 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 106690277 is about 10329.0985569894. The cubic root of 106690277 is about 474.2874294491.

The spelling of 106690277 in words is "one hundred six million, six hundred ninety thousand, two hundred seventy-seven".

Divisors: 1 37 1369 77933 2883521 106690277