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105380538949 = 723951168819
BaseRepresentation
bin110001000100100101…
…0110110101001000101
3101002000011002001010001
41202021022312221011
53211304404221244
6120224450401301
710420266541660
oct1421112665105
9332004061101
10105380538949
1140767626704
121850b890231
139c254578ba
14515989c6d7
152b1b7ad5d4
hex18892b6a45

105380538949 has 16 divisors (see below), whose sum is σ = 125686241280. Its totient is φ = 86388611760.

The previous prime is 105380538941. The next prime is 105380539001. The reversal of 105380538949 is 949835083501.

It is a cyclic number.

It is not a de Polignac number, because 105380538949 - 23 = 105380538941 is a prime.

It is a super-2 number, since 2×1053805389492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105380538949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105380538941) 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, 1496862 + ... + 1565680.

It is an arithmetic number, because the mean of its divisors is an integer number (7855390080).

Almost surely, 2105380538949 is an apocalyptic number.

It is an amenable number.

105380538949 is a deficient number, since it is larger than the sum of its proper divisors (20305702331).

105380538949 is an equidigital number, since it uses as much as digits as its factorization.

105380538949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78360.

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 105380538949 in words is "one hundred five billion, three hundred eighty million, five hundred thirty-eight thousand, nine hundred forty-nine".

Divisors: 1 7 23 161 9511 66577 68819 218753 481733 1531271 1582837 11079859 654537509 4581762563 15054362707 105380538949