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107106544341 = 3211900727149
BaseRepresentation
bin110001111000000001…
…1000010101011010101
3101020110102212012101200
41203300003002223111
53223323233404331
6121112024543113
710511125414446
oct1436003025325
9336412765350
10107106544341
1141472941045
1218911921a99
13a13bc0ab74
145280bd32cd
152bbd09c5e6
hex18f00c2ad5

107106544341 has 6 divisors (see below), whose sum is σ = 154709452950. Its totient is φ = 71404362888.

The previous prime is 107106544333. The next prime is 107106544361. The reversal of 107106544341 is 143445601701.

107106544341 is a `hidden beast` number, since 1 + 0 + 7 + 106 + 544 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85048056900 + 22058487441 = 291630^2 + 148521^2 .

It is not a de Polignac number, because 107106544341 - 23 = 107106544333 is a prime.

It is a super-2 number, since 2×1071065443412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107106544296 and 107106544305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106544301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5950363566 + ... + 5950363583.

It is an arithmetic number, because the mean of its divisors is an integer number (25784908825).

Almost surely, 2107106544341 is an apocalyptic number.

It is an amenable number.

107106544341 is a deficient number, since it is larger than the sum of its proper divisors (47602908609).

107106544341 is a wasteful number, since it uses less digits than its factorization.

107106544341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900727155 (or 11900727152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 107106544341 in words is "one hundred seven billion, one hundred six million, five hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 9 11900727149 35702181447 107106544341