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10106144 = 253131009
BaseRepresentation
bin100110100011…
…010100100000
3201000110000122
4212203110200
510041344034
61000335412
7151620656
oct46432440
921013018
1010106144
115782994
123474568
13212ac89
1414b0dd6
15d4962e
hex9a3520

10106144 has 24 divisors (see below), whose sum is σ = 19979820. Its totient is φ = 5031936.

The previous prime is 10106113. The next prime is 10106147. The reversal of 10106144 is 44160101.

It can be written as a sum of positive squares in 2 ways, for example, as 8179600 + 1926544 = 2860^2 + 1388^2 .

It is not an unprimeable number, because it can be changed into a prime (10106147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9512 + ... + 10520.

Almost surely, 210106144 is an apocalyptic number.

It is an amenable number.

10106144 is a deficient number, since it is larger than the sum of its proper divisors (9873676).

10106144 is a wasteful number, since it uses less digits than its factorization.

10106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10106144 is about 3179.0162000216. The cubic root of 10106144 is about 216.2030555098.

Adding to 10106144 its reverse (44160101), we get a palindrome (54266245).

The spelling of 10106144 in words is "ten million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 313 626 1009 1252 2018 2504 4036 5008 8072 10016 16144 32288 315817 631634 1263268 2526536 5053072 10106144