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105354660223 = 19233075771361
BaseRepresentation
bin110001000011110100…
…0001000100101111111
3101001221100101021011201
41202013220020211333
53211231243111343
6120222124000331
710416533556541
oct1420750104577
9331840337151
10105354660223
1140753a6062a
12185030900a7
139c1cc96747
145156283691
152b1939a94d
hex1887a0897f

105354660223 has 32 divisors (see below), whose sum is σ = 116384970240. Its totient is φ = 94924431360.

The previous prime is 105354660217. The next prime is 105354660227. The reversal of 105354660223 is 322066453501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105354660223 is a prime.

It is a super-2 number, since 2×1053546602232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354660227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77409063 + ... + 77410423.

It is an arithmetic number, because the mean of its divisors is an integer number (3637030320).

Almost surely, 2105354660223 is an apocalyptic number.

105354660223 is a deficient number, since it is larger than the sum of its proper divisors (11030310017).

105354660223 is a wasteful number, since it uses less digits than its factorization.

105354660223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 105354660223 in words is "one hundred five billion, three hundred fifty-four million, six hundred sixty thousand, two hundred twenty-three".

Divisors: 1 19 23 307 437 577 1361 5833 7061 10963 13271 25859 31303 134159 177139 252149 417827 594757 785297 3365641 4074197 7938713 9610021 14920643 18061831 77409743 182590399 241086179 343174789 4580637401 5544982117 105354660223