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106706177 = 232434691
BaseRepresentation
bin1100101110000…
…11010100000001
321102210020100122
412113003110001
5204304044202
614331030025
72433662504
oct627032401
9242706318
10106706177
1155261a26
122b89b315
1319151066
141025913b
15957b9a2
hex65c3501

106706177 has 12 divisors (see below), whose sum is σ = 114165744. Its totient is φ = 99671880.

The previous prime is 106706137. The next prime is 106706179. The reversal of 106706177 is 771607601.

It is a de Polignac number, because none of the positive numbers 2k-106706177 is a prime.

It is a super-2 number, since 2×1067061772 = 22772416419910658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106706179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20402 + ... + 25092.

It is an arithmetic number, because the mean of its divisors is an integer number (9513812).

Almost surely, 2106706177 is an apocalyptic number.

It is an amenable number.

106706177 is a deficient number, since it is larger than the sum of its proper divisors (7459567).

106706177 is an equidigital number, since it uses as much as digits as its factorization.

106706177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 106706177 is about 10329.8681985783. The cubic root of 106706177 is about 474.3109892203.

The spelling of 106706177 in words is "one hundred six million, seven hundred six thousand, one hundred seventy-seven".

Divisors: 1 23 43 529 989 4691 22747 107893 201713 2481539 4639399 106706177