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105182339692 = 222310347923173
BaseRepresentation
bin110000111110101011…
…0110010001001101100
3101001111100010110211211
41201331112302021230
53210403134332232
6120153050324204
710412342064403
oct1417526621154
9331440113754
10105182339692
1140675763671
1218475429664
139bc3381131
14513b42863a
152b091aca47
hex187d5b226c

105182339692 has 48 divisors (see below), whose sum is σ = 194350141440. Its totient is φ = 49710057408.

The previous prime is 105182339671. The next prime is 105182339693. The reversal of 105182339692 is 296933281501.

It is a super-2 number, since 2×1051823396922 (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.

It is not an unprimeable number, because it can be changed into a prime (105182339693) 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 15 ways as a sum of consecutive naturals, for example, 4527418 + ... + 4550590.

It is an arithmetic number, because the mean of its divisors is an integer number (4048961280).

Almost surely, 2105182339692 is an apocalyptic number.

It is an amenable number.

105182339692 is a deficient number, since it is larger than the sum of its proper divisors (89167801748).

105182339692 is a wasteful number, since it uses less digits than its factorization.

105182339692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23782 (or 23780 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 105182339692 in words is "one hundred five billion, one hundred eighty-two million, three hundred thirty-nine thousand, six hundred ninety-two".

Divisors: 1 2 4 23 46 92 103 206 412 479 958 1916 2369 4738 9476 11017 22034 23173 44068 46346 49337 92692 98674 197348 532979 1065958 1134751 2131916 2269502 2386819 4539004 4773638 9547276 11099867 22199734 44399468 54896837 109793674 219587348 255296941 510593882 1021187764 1143286301 2286572602 4573145204 26295584923 52591169846 105182339692