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105317496 = 2334162527
BaseRepresentation
bin1100100011100…
…00010001111000
321100011200110000
412101300101320
5203430124441
614241153000
72416120044
oct621602170
9240150400
10105317496
11544a3659
122b32b760
1318a85c5b
14ddb7024
1593a52b6
hex6470478

105317496 has 40 divisors (see below), whose sum is σ = 294988320. Its totient is φ = 35105616.

The previous prime is 105317489. The next prime is 105317497. The reversal of 105317496 is 694713501.

It is a super-2 number, since 2×1053174962 = 22183549927420032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105317496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105317497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80616 + ... + 81911.

It is an arithmetic number, because the mean of its divisors is an integer number (7374708).

Almost surely, 2105317496 is an apocalyptic number.

It is an amenable number.

105317496 is an abundant number, since it is smaller than the sum of its proper divisors (189670824).

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

105317496 is a wasteful number, since it uses less digits than its factorization.

105317496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162545 (or 162532 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105317496 is about 10262.4312908784. The cubic root of 105317496 is about 472.2444271686.

It can be divided in two parts, 10531749 and 6, that added together give a triangular number (10531755 = T4589).

The spelling of 105317496 in words is "one hundred five million, three hundred seventeen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 162527 325054 487581 650108 975162 1300216 1462743 1950324 2925486 3900648 4388229 5850972 8776458 11701944 13164687 17552916 26329374 35105832 52658748 105317496