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210105153 = 3240158217
BaseRepresentation
bin11001000010111…
…11001101000001
3112122100110002100
430201133031001
5412241331103
632503141013
75130602316
oct1441371501
9478313070
10210105153
11a8665125
125a444769
13346b499b
141dc92d0d
15136a35a3
hexc85f341

210105153 has 12 divisors (see below), whose sum is σ = 304247268. Its totient is φ = 139718400.

The previous prime is 210105131. The next prime is 210105163. The reversal of 210105153 is 351501012.

It can be written as a sum of positive squares in 2 ways, for example, as 182574144 + 27531009 = 13512^2 + 5247^2 .

It is not a de Polignac number, because 210105153 - 210 = 210104129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210105113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25500 + ... + 32717.

It is an arithmetic number, because the mean of its divisors is an integer number (25353939).

Almost surely, 2210105153 is an apocalyptic number.

It is an amenable number.

210105153 is a deficient number, since it is larger than the sum of its proper divisors (94142115).

210105153 is a wasteful number, since it uses less digits than its factorization.

210105153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58624 (or 58621 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 210105153 is about 14495.0044153150. The cubic root of 210105153 is about 594.4913884401.

Adding to 210105153 its reverse (351501012), we get a palindrome (561606165).

The spelling of 210105153 in words is "two hundred ten million, one hundred five thousand, one hundred fifty-three".

Divisors: 1 3 9 401 1203 3609 58217 174651 523953 23345017 70035051 210105153