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10107144 = 2332229613
BaseRepresentation
bin100110100011…
…100100001000
3201000111101200
4212203210020
510041412034
61000344200
7151623615
oct46434410
921014350
1010107144
115783713
123475060
13212b578
1414b150c
15d49a99
hex9a3908

10107144 has 48 divisors (see below), whose sum is σ = 27537900. Its totient is φ = 3348864.

The previous prime is 10107133. The next prime is 10107161. The reversal of 10107144 is 44170101.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 108900 = 3162^2 + 330^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16182 + ... + 16794.

Almost surely, 210107144 is an apocalyptic number.

It is an amenable number.

10107144 is an abundant number, since it is smaller than the sum of its proper divisors (17430756).

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

10107144 is a wasteful number, since it uses less digits than its factorization.

10107144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10107144 is about 3179.1734774938. The cubic root of 10107144 is about 216.2101863510.

Adding to 10107144 its reverse (44170101), we get a palindrome (54277245).

The spelling of 10107144 in words is "ten million, one hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 458 613 687 916 1226 1374 1832 1839 2061 2452 2748 3678 4122 4904 5496 5517 7356 8244 11034 14712 16488 22068 44136 140377 280754 421131 561508 842262 1123016 1263393 1684524 2526786 3369048 5053572 10107144