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106101001 = 232200569
BaseRepresentation
bin1100101001011…
…11100100001001
321101122111012201
412110233210021
5204130213001
614310040201
72425562236
oct624574411
9241574181
10106101001
1154989286
122b649061
1318c9b776
141013c78d
1594ac501
hex652f909

106101001 has 6 divisors (see below), whose sum is σ = 110915210. Its totient is φ = 101487408.

The previous prime is 106100987. The next prime is 106101019. The reversal of 106101001 is 100101601.

It can be written as a sum of positive squares in only one way, i.e., 76387600 + 29713401 = 8740^2 + 5451^2 .

It is a de Polignac number, because none of the positive numbers 2k-106101001 is a prime.

It is a super-2 number, since 2×1061010012 = 22514844826404002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99756 + ... + 100813.

Almost surely, 2106101001 is an apocalyptic number.

It is an amenable number.

106101001 is a deficient number, since it is larger than the sum of its proper divisors (4814209).

106101001 is an equidigital number, since it uses as much as digits as its factorization.

106101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200615 (or 200592 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 106101001 is about 10300.5340152829. The cubic root of 106101001 is about 473.4126157725.

Adding to 106101001 its reverse (100101601), we get a palindrome (206202602).

It can be divided in two parts, 10610 and 1001, that added together give a palindrome (11611).

The spelling of 106101001 in words is "one hundred six million, one hundred one thousand, one".

Divisors: 1 23 529 200569 4613087 106101001