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105172302 = 23172131463
BaseRepresentation
bin1100100010011…
…00110101001110
321022220022021110
412101030311032
5203411003202
614234112450
72414643534
oct621146516
9238808243
10105172302
1154404564
122b27b726
1318a34b41
14dd7a154
15937726c
hex644cd4e

105172302 has 48 divisors (see below), whose sum is σ = 225637632. Its totient is φ = 32672640.

The previous prime is 105172289. The next prime is 105172303. The reversal of 105172302 is 203271501.

It is a super-2 number, since 2×1051723022 = 22122426215958408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172303) 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 23 ways as a sum of consecutive naturals, for example, 226923 + ... + 227385.

It is an arithmetic number, because the mean of its divisors is an integer number (4700784).

Almost surely, 2105172302 is an apocalyptic number.

105172302 is an abundant number, since it is smaller than the sum of its proper divisors (120465330).

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

105172302 is a wasteful number, since it uses less digits than its factorization.

105172302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105172302 is about 10255.3547963978. The cubic root of 105172302 is about 472.0273103751.

The spelling of 105172302 in words is "one hundred five million, one hundred seventy-two thousand, three hundred two".

Divisors: 1 2 3 6 17 34 51 102 131 262 289 393 463 578 786 867 926 1389 1734 2227 2778 4454 6681 7871 13362 15742 23613 37859 47226 60653 75718 113577 121306 133807 181959 227154 267614 363918 401421 802842 1031101 2062202 3093303 6186606 17528717 35057434 52586151 105172302