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106265007 = 335936637
BaseRepresentation
bin1100101010101…
…11100110101111
321101221211012000
412111113212233
5204200440012
614313343343
72430144342
oct625274657
9241854160
10106265007
1154a90522
122b707b53
1319028304
1410182459
1594e0ddc
hex65579af

106265007 has 16 divisors (see below), whose sum is σ = 157718880. Its totient is φ = 70713216.

The previous prime is 106264987. The next prime is 106265039. The reversal of 106265007 is 700562601.

106265007 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 650 + 0 + 7 = 666.

It is not a de Polignac number, because 106265007 - 28 = 106264751 is a prime.

It is a super-2 number, since 2×1062650072 = 22584503425420098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106265707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12693 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (9857430).

Almost surely, 2106265007 is an apocalyptic number.

106265007 is a deficient number, since it is larger than the sum of its proper divisors (51453873).

106265007 is an equidigital number, since it uses as much as digits as its factorization.

106265007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106265007 is about 10308.4919847667. The cubic root of 106265007 is about 473.6564166090.

The spelling of 106265007 in words is "one hundred six million, two hundred sixty-five thousand, seven".

Divisors: 1 3 9 27 593 1779 5337 6637 16011 19911 59733 179199 3935741 11807223 35421669 106265007