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107105767369 = 1719409980897
BaseRepresentation
bin110001111000000000…
…0000100111111001001
3101020110101101201120221
41203300000010333021
53223323034023434
6121112000150041
710511116000306
oct1436000047711
9336411351527
10107105767369
1141472460317
1218911608321
13a13b9c8313
145280a700ad
152bbce972b4
hex18f0004fc9

107105767369 has 16 divisors (see below), whose sum is σ = 119405448000. Its totient is φ = 95475400704.

The previous prime is 107105767361. The next prime is 107105767397. The reversal of 107105767369 is 963767501701.

It is a cyclic number.

It is not a de Polignac number, because 107105767369 - 23 = 107105767361 is a prime.

It is a super-2 number, since 2×1071057673692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107105767361) 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, 1283529 + ... + 1364425.

It is an arithmetic number, because the mean of its divisors is an integer number (7462840500).

Almost surely, 2107105767369 is an apocalyptic number.

107105767369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107105767369 is a deficient number, since it is larger than the sum of its proper divisors (12299680631).

107105767369 is a wasteful number, since it uses less digits than its factorization.

107105767369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85032.

The product of its (nonzero) digits is 1666980, while the sum is 52.

The spelling of 107105767369 in words is "one hundred seven billion, one hundred five million, seven hundred sixty-seven thousand, three hundred sixty-nine".

Divisors: 1 17 19 323 4099 69683 77881 80897 1323977 1375249 1537043 26129731 331596803 5637145651 6300339257 107105767369