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105461164236 = 22312769200239
BaseRepresentation
bin110001000110111111…
…0011010100011001100
3101002012202210020012210
41202031332122203030
53211441024223421
6120240450430420
710422266051061
oct1421576324314
9332182706183
10105461164236
11407a909467a
1218532892410
139c3907677c
145166488c68
152b238d7576
hex188df9a8cc

105461164236 has 24 divisors (see below), whose sum is σ = 248013660160. Its totient is φ = 34876919952.

The previous prime is 105461164231. The next prime is 105461164247. The reversal of 105461164236 is 632461164501.

It is a super-2 number, since 2×1054611642362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105461164194 and 105461164203.

It is not an unprimeable number, because it can be changed into a prime (105461164231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34598596 + ... + 34601643.

Almost surely, 2105461164236 is an apocalyptic number.

It is an amenable number.

105461164236 is an abundant number, since it is smaller than the sum of its proper divisors (142552495924).

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

105461164236 is a wasteful number, since it uses less digits than its factorization.

105461164236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69200373 (or 69200371 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 105461164236 in words is "one hundred five billion, four hundred sixty-one million, one hundred sixty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 69200239 138400478 207600717 276800956 415201434 830402868 8788430353 17576860706 26365291059 35153721412 52730582118 105461164236