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106200507 = 375057167
BaseRepresentation
bin1100101010001…
…11110110111011
321101211112201010
412111013312323
5204141404012
614312125003
72426455320
oct625076673
9241745633
10106200507
1154a47016
122b696763
1319004b4a
1410166b47
1594cbc3c
hex6547dbb

106200507 has 8 divisors (see below), whose sum is σ = 161829376. Its totient is φ = 60685992.

The previous prime is 106200503. The next prime is 106200509. The reversal of 106200507 is 705002601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106200507 - 22 = 106200503 is a prime.

It is a super-2 number, since 2×1062005072 = 22557095374114098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 5057167 = 106200507 / (1 + 0 + 6 + 2 + 0 + 0 + 5 + 0 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106200503) 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 7 ways as a sum of consecutive naturals, for example, 2528563 + ... + 2528604.

It is an arithmetic number, because the mean of its divisors is an integer number (20228672).

Almost surely, 2106200507 is an apocalyptic number.

106200507 is a deficient number, since it is larger than the sum of its proper divisors (55628869).

106200507 is an equidigital number, since it uses as much as digits as its factorization.

106200507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057177.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 106200507 is about 10305.3630212623. The cubic root of 106200507 is about 473.5605649798.

The spelling of 106200507 in words is "one hundred six million, two hundred thousand, five hundred seven".

Divisors: 1 3 7 21 5057167 15171501 35400169 106200507