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105260253 = 375878539
BaseRepresentation
bin1100100011000…
…10010011011101
321100001202220220
412101202103131
5203421312003
614240031553
72415461130
oct621422335
9240052826
10105260253
115446464a
122b3025b9
1318a65b97
14dda0217
159393353
hex64624dd

105260253 has 16 divisors (see below), whose sum is σ = 160688640. Its totient is φ = 60039216.

The previous prime is 105260231. The next prime is 105260257. The reversal of 105260253 is 352062501.

It is not a de Polignac number, because 105260253 - 213 = 105252061 is a prime.

It is a super-2 number, since 2×1052602532 = 22159441723248018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105260257) 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 15 ways as a sum of consecutive naturals, for example, 8058 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (10043040).

Almost surely, 2105260253 is an apocalyptic number.

It is an amenable number.

105260253 is a deficient number, since it is larger than the sum of its proper divisors (55428387).

105260253 is an equidigital number, since it uses as much as digits as its factorization.

105260253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105260253 is about 10259.6419528169. The cubic root of 105260253 is about 472.1588523182.

The spelling of 105260253 in words is "one hundred five million, two hundred sixty thousand, two hundred fifty-three".

Divisors: 1 3 7 21 587 1761 4109 8539 12327 25617 59773 179319 5012393 15037179 35086751 105260253