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106275090 = 2353542503
BaseRepresentation
bin1100101010110…
…10000100010010
321101222100000110
412111122010102
5204201300330
614313502150
72430215625
oct625320422
9241870013
10106275090
1154a98059
122b711956
131902ca8c
1410185dbc
1594e3db0
hex655a112

106275090 has 16 divisors (see below), whose sum is σ = 255060288. Its totient is φ = 28340016.

The previous prime is 106275083. The next prime is 106275121. The reversal of 106275090 is 90572601.

It is a super-2 number, since 2×1062750902 = 22588789509016200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3542503 = 106275090 / (1 + 0 + 6 + 2 + 7 + 5 + 0 + 9 + 0).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1771222 + ... + 1771281.

It is an arithmetic number, because the mean of its divisors is an integer number (15941268).

Almost surely, 2106275090 is an apocalyptic number.

106275090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106275090 is an abundant number, since it is smaller than the sum of its proper divisors (148785198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106275090 is a wasteful number, since it uses less digits than its factorization.

106275090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542513.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 106275090 is about 10308.9810359705. The cubic root of 106275090 is about 473.6713971648.

The spelling of 106275090 in words is "one hundred six million, two hundred seventy-five thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 3542503 7085006 10627509 17712515 21255018 35425030 53137545 106275090