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10106010 = 2325112289
BaseRepresentation
bin100110100011…
…010010011010
3201000102211200
4212203102122
510041343020
61000335030
7151620405
oct46432232
921012750
1010106010
115782882
123474476
13212abb5
1414b0d3c
15d49590
hex9a349a

10106010 has 24 divisors (see below), whose sum is σ = 26275860. Its totient is φ = 2694912.

The previous prime is 10105961. The next prime is 10106017. The reversal of 10106010 is 1060101.

It can be written as a sum of positive squares in 2 ways, for example, as 9235521 + 870489 = 3039^2 + 933^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10105983 and 10106001.

It is not an unprimeable number, because it can be changed into a prime (10106017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 56055 + ... + 56234.

Almost surely, 210106010 is an apocalyptic number.

10106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106010 is an abundant number, since it is smaller than the sum of its proper divisors (16169850).

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

10106010 is a wasteful number, since it uses less digits than its factorization.

10106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112302 (or 112299 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10106010 is about 3178.9951242492. The cubic root of 10106010 is about 216.2020999413.

Adding to 10106010 its reverse (1060101), we get a palindrome (11166111).

The spelling of 10106010 in words is "ten million, one hundred six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112289 224578 336867 561445 673734 1010601 1122890 1684335 2021202 3368670 5053005 10106010