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105160705216 = 267234733717
BaseRepresentation
bin110000111110000010…
…0010000010011000000
3101001102211102022220221
41201330010100103000
53210332120031331
6120150554512424
710411660150210
oct1417404202300
9331384368827
10105160705216
1140664527336
121846a135714
139bbba47a78
1451385d6240
152b07337711
hex187c1104c0

105160705216 has 28 divisors (see below), whose sum is σ = 238489457488. Its totient is φ = 45068873472.

The previous prime is 105160705171. The next prime is 105160705217. The reversal of 105160705216 is 612507061501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1051607052162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105160705217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117366411 + ... + 117367306.

Almost surely, 2105160705216 is an apocalyptic number.

105160705216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105160705216 is an abundant number, since it is smaller than the sum of its proper divisors (133328752272).

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

105160705216 is an equidigital number, since it uses as much as digits as its factorization.

105160705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234733736 (or 234733726 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

Adding to 105160705216 its reverse (612507061501), we get a palindrome (717667766717).

The spelling of 105160705216 in words is "one hundred five billion, one hundred sixty million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 234733717 469467434 938934868 1643136019 1877869736 3286272038 3755739472 6572544076 7511478944 13145088152 15022957888 26290176304 52580352608 105160705216