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106261873 = 415379619
BaseRepresentation
bin1100101010101…
…10110101110001
321101221122212221
412111112311301
5204200334443
614313321041
72430132244
oct625266561
9241848787
10106261873
1154a89133
122b706181
1319026a63
141018125b
1594deeed
hex6556d71

106261873 has 16 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 100264320.

The previous prime is 106261853. The next prime is 106261919. The reversal of 106261873 is 378162601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106261873 is a prime.

It is a super-2 number, since 2×1062618732 = 22583171306936258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106261853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171358 + ... + 171976.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2106261873 is an apocalyptic number.

It is an amenable number.

106261873 is a deficient number, since it is larger than the sum of its proper divisors (6230927).

106261873 is an equidigital number, since it uses as much as digits as its factorization.

106261873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 106261873 is about 10308.3399730509. The cubic root of 106261873 is about 473.6517601567.

The spelling of 106261873 in words is "one hundred six million, two hundred sixty-one thousand, eight hundred seventy-three".

Divisors: 1 41 53 79 619 2173 3239 4187 25379 32807 48901 171667 1345087 2004941 2591753 106261873