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105074816854 = 27232111546537
BaseRepresentation
bin110000111011011110…
…0100111011101010110
3101001012211210202020111
41201312330213131112
53210143123114404
6120134245553234
710406565130630
oct1416674473526
9331184722214
10105074816854
114061aaa4117
121844541581a
139ba7005457
14512b039a50
152aeea1e104
hex1876f27756

105074816854 has 32 divisors (see below), whose sum is σ = 188850848256. Its totient is φ = 42869977920.

The previous prime is 105074816849. The next prime is 105074816857. The reversal of 105074816854 is 458618470501.

It is a super-2 number, since 2×1050748168542 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105074816798 and 105074816807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105074816857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705327 + ... + 841210.

It is an arithmetic number, because the mean of its divisors is an integer number (5901589008).

Almost surely, 2105074816854 is an apocalyptic number.

105074816854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105074816854 is a deficient number, since it is larger than the sum of its proper divisors (83776031402).

105074816854 is a wasteful number, since it uses less digits than its factorization.

105074816854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546780.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 105074816854 in words is "one hundred five billion, seventy-four million, eight hundred sixteen thousand, eight hundred fifty-four".

Divisors: 1 2 7 14 23 46 161 211 322 422 1477 2954 4853 9706 33971 67942 1546537 3093074 10825759 21651518 35570351 71140702 248992457 326319307 497984914 652638614 2284235149 4568470298 7505344061 15010688122 52537408427 105074816854